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Finding the Fourth Proportional to 142,803.90, 214,205.85 and 83,706.30

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Solution

The fourth proportional to 142,803.90, 214,205.85 and 83,706.30 is: 125,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,803.90 : 214,205.85 = 83,706.30 : x
  2. Step 2: Convert to fraction form
    142,803.90/214,205.85 = 83,706.30/x
  3. Step 3: Cross multiply
    142,803.90x = 214,205.85 × 83,706.30
  4. Step 4: Simplify right side
    142,803.90x = 17,930,379,141.86
  5. Step 5: Solve for x
    x = 17,930,379,141.86/142,803.90
  6. Step 6: Final answer
    x = 125,559.45

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