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Finding the Fourth Proportional to 113,387.80, 170,081.70 and 97,641.40

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Solution

The fourth proportional to 113,387.80, 170,081.70 and 97,641.40 is: 146,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,387.80 : 170,081.70 = 97,641.40 : x
  2. Step 2: Convert to fraction form
    113,387.80/170,081.70 = 97,641.40/x
  3. Step 3: Cross multiply
    113,387.80x = 170,081.70 × 97,641.40
  4. Step 4: Simplify right side
    113,387.80x = 16,607,015,302.38
  5. Step 5: Solve for x
    x = 16,607,015,302.38/113,387.80
  6. Step 6: Final answer
    x = 146,462.10

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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.