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Finding the Fourth Proportional to 142,722.40, 214,083.60 and 83,624.80

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Solution

The fourth proportional to 142,722.40, 214,083.60 and 83,624.80 is: 125,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722.40 : 214,083.60 = 83,624.80 : x
  2. Step 2: Convert to fraction form
    142,722.40/214,083.60 = 83,624.80/x
  3. Step 3: Cross multiply
    142,722.40x = 214,083.60 × 83,624.80
  4. Step 4: Simplify right side
    142,722.40x = 17,902,698,233.28
  5. Step 5: Solve for x
    x = 17,902,698,233.28/142,722.40
  6. Step 6: Final answer
    x = 125,437.20

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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.