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Finding the Fourth Proportional to 160,113.14, 239,837.54 and 93,350.78

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Solution

The fourth proportional to 160,113.14, 239,837.54 and 93,350.78 is: 139,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,113.14 : 239,837.54 = 93,350.78 : x
  2. Step 2: Convert to fraction form
    160,113.14/239,837.54 = 93,350.78/x
  3. Step 3: Cross multiply
    160,113.14x = 239,837.54 × 93,350.78
  4. Step 4: Simplify right side
    160,113.14x = 22,389,021,432.28
  5. Step 5: Solve for x
    x = 22,389,021,432.28/160,113.14
  6. Step 6: Final answer
    x = 139,832.50

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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.