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Finding the Fourth Proportional to 178,049.52, 245,711.25 and 97,475.67

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Solution

The fourth proportional to 178,049.52, 245,711.25 and 97,475.67 is: 134,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,049.52 : 245,711.25 = 97,475.67 : x
  2. Step 2: Convert to fraction form
    178,049.52/245,711.25 = 97,475.67/x
  3. Step 3: Cross multiply
    178,049.52x = 245,711.25 × 97,475.67
  4. Step 4: Simplify right side
    178,049.52x = 23,950,868,720.29
  5. Step 5: Solve for x
    x = 23,950,868,720.29/178,049.52
  6. Step 6: Final answer
    x = 134,518.02

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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.