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Finding the Fourth Proportional to 146,098.53, 218,981.70 and 61,806.09

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Solution

The fourth proportional to 146,098.53, 218,981.70 and 61,806.09 is: 92,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,098.53 : 218,981.70 = 61,806.09 : x
  2. Step 2: Convert to fraction form
    146,098.53/218,981.70 = 61,806.09/x
  3. Step 3: Cross multiply
    146,098.53x = 218,981.70 × 61,806.09
  4. Step 4: Simplify right side
    146,098.53x = 13,534,402,658.55
  5. Step 5: Solve for x
    x = 13,534,402,658.55/146,098.53
  6. Step 6: Final answer
    x = 92,638.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.