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Finding the Fourth Proportional to 284,052.16, 392,000.19 and 156,735.95

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Solution

The fourth proportional to 284,052.16, 392,000.19 and 156,735.95 is: 216,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,052.16 : 392,000.19 = 156,735.95 : x
  2. Step 2: Convert to fraction form
    284,052.16/392,000.19 = 156,735.95/x
  3. Step 3: Cross multiply
    284,052.16x = 392,000.19 × 156,735.95
  4. Step 4: Simplify right side
    284,052.16x = 61,440,522,179.83
  5. Step 5: Solve for x
    x = 61,440,522,179.83/284,052.16
  6. Step 6: Final answer
    x = 216,300.14

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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.