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Finding the Fourth Proportional to 178,005.94, 245,648.56 and 97,438.61

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Solution

The fourth proportional to 178,005.94, 245,648.56 and 97,438.61 is: 134,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,005.94 : 245,648.56 = 97,438.61 : x
  2. Step 2: Convert to fraction form
    178,005.94/245,648.56 = 97,438.61/x
  3. Step 3: Cross multiply
    178,005.94x = 245,648.56 × 97,438.61
  4. Step 4: Simplify right side
    178,005.94x = 23,935,654,234.90
  5. Step 5: Solve for x
    x = 23,935,654,234.90/178,005.94
  6. Step 6: Final answer
    x = 134,465.48

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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.