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Finding the Fourth Proportional to 109,607.40, 164,411.10 and 91,892.70

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Solution

The fourth proportional to 109,607.40, 164,411.10 and 91,892.70 is: 137,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,607.40 : 164,411.10 = 91,892.70 : x
  2. Step 2: Convert to fraction form
    109,607.40/164,411.10 = 91,892.70/x
  3. Step 3: Cross multiply
    109,607.40x = 164,411.10 × 91,892.70
  4. Step 4: Simplify right side
    109,607.40x = 15,108,179,888.97
  5. Step 5: Solve for x
    x = 15,108,179,888.97/109,607.40
  6. Step 6: Final answer
    x = 137,839.05

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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.