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Finding the Fourth Proportional to 142,001.70, 212,743.35 and 86,532.90

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Solution

The fourth proportional to 142,001.70, 212,743.35 and 86,532.90 is: 129,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,001.70 : 212,743.35 = 86,532.90 : x
  2. Step 2: Convert to fraction form
    142,001.70/212,743.35 = 86,532.90/x
  3. Step 3: Cross multiply
    142,001.70x = 212,743.35 × 86,532.90
  4. Step 4: Simplify right side
    142,001.70x = 18,409,299,031.22
  5. Step 5: Solve for x
    x = 18,409,299,031.22/142,001.70
  6. Step 6: Final answer
    x = 129,641.40

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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.