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Finding the Fourth Proportional to 178,130.91, 245,820.82 and 96,458.92

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Solution

The fourth proportional to 178,130.91, 245,820.82 and 96,458.92 is: 133,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,130.91 : 245,820.82 = 96,458.92 : x
  2. Step 2: Convert to fraction form
    178,130.91/245,820.82 = 96,458.92/x
  3. Step 3: Cross multiply
    178,130.91x = 245,820.82 × 96,458.92
  4. Step 4: Simplify right side
    178,130.91x = 23,711,609,581.61
  5. Step 5: Solve for x
    x = 23,711,609,581.61/178,130.91
  6. Step 6: Final answer
    x = 133,113.39

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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.