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Finding the Fourth Proportional to 178,041.38, 245,697.05 and 97,468.65

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Solution

The fourth proportional to 178,041.38, 245,697.05 and 97,468.65 is: 134,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,041.38 : 245,697.05 = 97,468.65 : x
  2. Step 2: Convert to fraction form
    178,041.38/245,697.05 = 97,468.65/x
  3. Step 3: Cross multiply
    178,041.38x = 245,697.05 × 97,468.65
  4. Step 4: Simplify right side
    178,041.38x = 23,947,760,016.15
  5. Step 5: Solve for x
    x = 23,947,760,016.15/178,041.38
  6. Step 6: Final answer
    x = 134,506.71

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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.