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Finding the Fourth Proportional to 284,152.45, 392,129.57 and 156,827.13

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Solution

The fourth proportional to 284,152.45, 392,129.57 and 156,827.13 is: 216,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,152.45 : 392,129.57 = 156,827.13 : x
  2. Step 2: Convert to fraction form
    284,152.45/392,129.57 = 156,827.13/x
  3. Step 3: Cross multiply
    284,152.45x = 392,129.57 × 156,827.13
  4. Step 4: Simplify right side
    284,152.45x = 61,496,553,090.59
  5. Step 5: Solve for x
    x = 61,496,553,090.59/284,152.45
  6. Step 6: Final answer
    x = 216,420.99

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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.