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Finding the Fourth Proportional to 284,232.69, 392,242.37 and 156,909.33

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Solution

The fourth proportional to 284,232.69, 392,242.37 and 156,909.33 is: 216,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,232.69 : 392,242.37 = 156,909.33 : x
  2. Step 2: Convert to fraction form
    284,232.69/392,242.37 = 156,909.33/x
  3. Step 3: Cross multiply
    284,232.69x = 392,242.37 × 156,909.33
  4. Step 4: Simplify right side
    284,232.69x = 61,546,487,474.31
  5. Step 5: Solve for x
    x = 61,546,487,474.31/284,232.69
  6. Step 6: Final answer
    x = 216,535.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.