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Finding the Fourth Proportional to 292,006.77, 437,903.24 and 142,202.13

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Solution

The fourth proportional to 292,006.77, 437,903.24 and 142,202.13 is: 213,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,006.77 : 437,903.24 = 142,202.13 : x
  2. Step 2: Convert to fraction form
    292,006.77/437,903.24 = 142,202.13/x
  3. Step 3: Cross multiply
    292,006.77x = 437,903.24 × 142,202.13
  4. Step 4: Simplify right side
    292,006.77x = 62,270,772,750.89
  5. Step 5: Solve for x
    x = 62,270,772,750.89/292,006.77
  6. Step 6: Final answer
    x = 213,251.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.