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Finding the Fourth Proportional to 363,899.66, 545,774.32 and 97,596.88

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Solution

The fourth proportional to 363,899.66, 545,774.32 and 97,596.88 is: 146,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,899.66 : 545,774.32 = 97,596.88 : x
  2. Step 2: Convert to fraction form
    363,899.66/545,774.32 = 97,596.88/x
  3. Step 3: Cross multiply
    363,899.66x = 545,774.32 × 97,596.88
  4. Step 4: Simplify right side
    363,899.66x = 53,265,870,816.12
  5. Step 5: Solve for x
    x = 53,265,870,816.12/363,899.66
  6. Step 6: Final answer
    x = 146,375.16

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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.