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Finding the Fourth Proportional to 242,570.16, 363,855.24 and 65,073.24

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Solution

The fourth proportional to 242,570.16, 363,855.24 and 65,073.24 is: 97,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,570.16 : 363,855.24 = 65,073.24 : x
  2. Step 2: Convert to fraction form
    242,570.16/363,855.24 = 65,073.24/x
  3. Step 3: Cross multiply
    242,570.16x = 363,855.24 × 65,073.24
  4. Step 4: Simplify right side
    242,570.16x = 23,677,239,357.78
  5. Step 5: Solve for x
    x = 23,677,239,357.78/242,570.16
  6. Step 6: Final answer
    x = 97,609.86

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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.