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Finding the Fourth Proportional to 97,475.40, 146,213.10 and 88,435.80

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Solution

The fourth proportional to 97,475.40, 146,213.10 and 88,435.80 is: 132,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,475.40 : 146,213.10 = 88,435.80 : x
  2. Step 2: Convert to fraction form
    97,475.40/146,213.10 = 88,435.80/x
  3. Step 3: Cross multiply
    97,475.40x = 146,213.10 × 88,435.80
  4. Step 4: Simplify right side
    97,475.40x = 12,930,472,468.98
  5. Step 5: Solve for x
    x = 12,930,472,468.98/97,475.40
  6. Step 6: Final answer
    x = 132,653.70

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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.