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Finding the Fourth Proportional to 97,653.59, 146,479.32 and 74,105.75

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Solution

The fourth proportional to 97,653.59, 146,479.32 and 74,105.75 is: 111,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,653.59 : 146,479.32 = 74,105.75 : x
  2. Step 2: Convert to fraction form
    97,653.59/146,479.32 = 74,105.75/x
  3. Step 3: Cross multiply
    97,653.59x = 146,479.32 × 74,105.75
  4. Step 4: Simplify right side
    97,653.59x = 10,854,959,868.09
  5. Step 5: Solve for x
    x = 10,854,959,868.09/97,653.59
  6. Step 6: Final answer
    x = 111,157.82

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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.