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Finding the Fourth Proportional to 116,031.96, 174,089.40 and 71,607

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Solution

The fourth proportional to 116,031.96, 174,089.40 and 71,607 is: 107,436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,031.96 : 174,089.40 = 71,607 : x
  2. Step 2: Convert to fraction form
    116,031.96/174,089.40 = 71,607/x
  3. Step 3: Cross multiply
    116,031.96x = 174,089.40 × 71,607
  4. Step 4: Simplify right side
    116,031.96x = 12,466,019,665.80
  5. Step 5: Solve for x
    x = 12,466,019,665.80/116,031.96
  6. Step 6: Final answer
    x = 107,436.09

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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.