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Finding the Fourth Proportional to 284,074.55, 392,022.42 and 156,750.03

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Solution

The fourth proportional to 284,074.55, 392,022.42 and 156,750.03 is: 216,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,074.55 : 392,022.42 = 156,750.03 : x
  2. Step 2: Convert to fraction form
    284,074.55/392,022.42 = 156,750.03/x
  3. Step 3: Cross multiply
    284,074.55x = 392,022.42 × 156,750.03
  4. Step 4: Simplify right side
    284,074.55x = 61,449,526,095.67
  5. Step 5: Solve for x
    x = 61,449,526,095.67/284,074.55
  6. Step 6: Final answer
    x = 216,314.79

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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.