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Finding the Fourth Proportional to 97,337.40, 146,006.10 and 80,934.90

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Solution

The fourth proportional to 97,337.40, 146,006.10 and 80,934.90 is: 121,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,337.40 : 146,006.10 = 80,934.90 : x
  2. Step 2: Convert to fraction form
    97,337.40/146,006.10 = 80,934.90/x
  3. Step 3: Cross multiply
    97,337.40x = 146,006.10 × 80,934.90
  4. Step 4: Simplify right side
    97,337.40x = 11,816,989,102.89
  5. Step 5: Solve for x
    x = 11,816,989,102.89/97,337.40
  6. Step 6: Final answer
    x = 121,402.35

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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.