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Finding the Fourth Proportional to 257,690.16, 386,627.31 and 156,693.69

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Solution

The fourth proportional to 257,690.16, 386,627.31 and 156,693.69 is: 235,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690.16 : 386,627.31 = 156,693.69 : x
  2. Step 2: Convert to fraction form
    257,690.16/386,627.31 = 156,693.69/x
  3. Step 3: Cross multiply
    257,690.16x = 386,627.31 × 156,693.69
  4. Step 4: Simplify right side
    257,690.16x = 60,582,059,858.67
  5. Step 5: Solve for x
    x = 60,582,059,858.67/257,690.16
  6. Step 6: Final answer
    x = 235,096.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.