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Finding the Fourth Proportional to 148,658.41, 205,319.04 and 97,898.14

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Solution

The fourth proportional to 148,658.41, 205,319.04 and 97,898.14 is: 135,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,658.41 : 205,319.04 = 97,898.14 : x
  2. Step 2: Convert to fraction form
    148,658.41/205,319.04 = 97,898.14/x
  3. Step 3: Cross multiply
    148,658.41x = 205,319.04 × 97,898.14
  4. Step 4: Simplify right side
    148,658.41x = 20,100,352,122.59
  5. Step 5: Solve for x
    x = 20,100,352,122.59/148,658.41
  6. Step 6: Final answer
    x = 135,211.67

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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.