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Finding the Fourth Proportional to 284,208.70, 392,207.94 and 156,884.26

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Solution

The fourth proportional to 284,208.70, 392,207.94 and 156,884.26 is: 216,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,208.70 : 392,207.94 = 156,884.26 : x
  2. Step 2: Convert to fraction form
    284,208.70/392,207.94 = 156,884.26/x
  3. Step 3: Cross multiply
    284,208.70x = 392,207.94 × 156,884.26
  4. Step 4: Simplify right side
    284,208.70x = 61,531,252,433.02
  5. Step 5: Solve for x
    x = 61,531,252,433.02/284,208.70
  6. Step 6: Final answer
    x = 216,500.24

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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.