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Finding the Fourth Proportional to 292,206.80, 438,324.60 and 152,238.80

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Solution

The fourth proportional to 292,206.80, 438,324.60 and 152,238.80 is: 228,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,206.80 : 438,324.60 = 152,238.80 : x
  2. Step 2: Convert to fraction form
    292,206.80/438,324.60 = 152,238.80/x
  3. Step 3: Cross multiply
    292,206.80x = 438,324.60 × 152,238.80
  4. Step 4: Simplify right side
    292,206.80x = 66,730,011,114.48
  5. Step 5: Solve for x
    x = 66,730,011,114.48/292,206.80
  6. Step 6: Final answer
    x = 228,365.70

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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.