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Finding the Fourth Proportional to 91,821.40, 137,732.10 and 91,821.40

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Solution

The fourth proportional to 91,821.40, 137,732.10 and 91,821.40 is: 137,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,821.40 : 137,732.10 = 91,821.40 : x
  2. Step 2: Convert to fraction form
    91,821.40/137,732.10 = 91,821.40/x
  3. Step 3: Cross multiply
    91,821.40x = 137,732.10 × 91,821.40
  4. Step 4: Simplify right side
    91,821.40x = 12,646,754,246.94
  5. Step 5: Solve for x
    x = 12,646,754,246.94/91,821.40
  6. Step 6: Final answer
    x = 137,732.10

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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.