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Finding the Fourth Proportional to 157,172.76, 235,759.36 and 38,842.30

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Solution

The fourth proportional to 157,172.76, 235,759.36 and 38,842.30 is: 58,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,172.76 : 235,759.36 = 38,842.30 : x
  2. Step 2: Convert to fraction form
    157,172.76/235,759.36 = 38,842.30/x
  3. Step 3: Cross multiply
    157,172.76x = 235,759.36 × 38,842.30
  4. Step 4: Simplify right side
    157,172.76x = 9,157,435,788.93
  5. Step 5: Solve for x
    x = 9,157,435,788.93/157,172.76
  6. Step 6: Final answer
    x = 58,263.50

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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.