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Finding the Fourth Proportional to 178,002.31, 245,642.55 and 96,330.40

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Solution

The fourth proportional to 178,002.31, 245,642.55 and 96,330.40 is: 132,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002.31 : 245,642.55 = 96,330.40 : x
  2. Step 2: Convert to fraction form
    178,002.31/245,642.55 = 96,330.40/x
  3. Step 3: Cross multiply
    178,002.31x = 245,642.55 × 96,330.40
  4. Step 4: Simplify right side
    178,002.31x = 23,662,845,098.52
  5. Step 5: Solve for x
    x = 23,662,845,098.52/178,002.31
  6. Step 6: Final answer
    x = 132,935.61

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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.