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Finding the Fourth Proportional to 284,194.16, 392,191.22 and 156,869.88

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Solution

The fourth proportional to 284,194.16, 392,191.22 and 156,869.88 is: 216,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,194.16 : 392,191.22 = 156,869.88 : x
  2. Step 2: Convert to fraction form
    284,194.16/392,191.22 = 156,869.88/x
  3. Step 3: Cross multiply
    284,194.16x = 392,191.22 × 156,869.88
  4. Step 4: Simplify right side
    284,194.16x = 61,522,989,618.45
  5. Step 5: Solve for x
    x = 61,522,989,618.45/284,194.16
  6. Step 6: Final answer
    x = 216,482.24

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Why These Related Problems?

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