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Finding the Fourth Proportional to 142,706.67, 214,062.12 and 67,834.53

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Solution

The fourth proportional to 142,706.67, 214,062.12 and 67,834.53 is: 101,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,706.67 : 214,062.12 = 67,834.53 : x
  2. Step 2: Convert to fraction form
    142,706.67/214,062.12 = 67,834.53/x
  3. Step 3: Cross multiply
    142,706.67x = 214,062.12 × 67,834.53
  4. Step 4: Simplify right side
    142,706.67x = 14,520,803,301.00
  5. Step 5: Solve for x
    x = 14,520,803,301.00/142,706.67
  6. Step 6: Final answer
    x = 101,752.80

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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.