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Finding the Fourth Proportional to 284,194.72, 392,186.52 and 156,870.28

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Solution

The fourth proportional to 284,194.72, 392,186.52 and 156,870.28 is: 216,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,194.72 : 392,186.52 = 156,870.28 : x
  2. Step 2: Convert to fraction form
    284,194.72/392,186.52 = 156,870.28/x
  3. Step 3: Cross multiply
    284,194.72x = 392,186.52 × 156,870.28
  4. Step 4: Simplify right side
    284,194.72x = 61,522,409,204.63
  5. Step 5: Solve for x
    x = 61,522,409,204.63/284,194.72
  6. Step 6: Final answer
    x = 216,479.78

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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.