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Finding the Fourth Proportional to 178,156.92, 245,856.60 and 97,585.78

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Solution

The fourth proportional to 178,156.92, 245,856.60 and 97,585.78 is: 134,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,156.92 : 245,856.60 = 97,585.78 : x
  2. Step 2: Convert to fraction form
    178,156.92/245,856.60 = 97,585.78/x
  3. Step 3: Cross multiply
    178,156.92x = 245,856.60 × 97,585.78
  4. Step 4: Simplify right side
    178,156.92x = 23,992,108,079.15
  5. Step 5: Solve for x
    x = 23,992,108,079.15/178,156.92
  6. Step 6: Final answer
    x = 134,668.40

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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.