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Finding the Fourth Proportional to 292,903.82, 439,197.67 and 132,892.42

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Solution

The fourth proportional to 292,903.82, 439,197.67 and 132,892.42 is: 199,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,903.82 : 439,197.67 = 132,892.42 : x
  2. Step 2: Convert to fraction form
    292,903.82/439,197.67 = 132,892.42/x
  3. Step 3: Cross multiply
    292,903.82x = 439,197.67 × 132,892.42
  4. Step 4: Simplify right side
    292,903.82x = 58,366,041,224.66
  5. Step 5: Solve for x
    x = 58,366,041,224.66/292,903.82
  6. Step 6: Final answer
    x = 199,266.92

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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.