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Finding the Fourth Proportional to 157,280.92, 235,984.02 and 57,447.88

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Solution

The fourth proportional to 157,280.92, 235,984.02 and 57,447.88 is: 86,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,280.92 : 235,984.02 = 57,447.88 : x
  2. Step 2: Convert to fraction form
    157,280.92/235,984.02 = 57,447.88/x
  3. Step 3: Cross multiply
    157,280.92x = 235,984.02 × 57,447.88
  4. Step 4: Simplify right side
    157,280.92x = 13,556,781,662.88
  5. Step 5: Solve for x
    x = 13,556,781,662.88/157,280.92
  6. Step 6: Final answer
    x = 86,194.70

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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.