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Finding the Fourth Proportional to 242,686.96, 364,031.25 and 74,206.66

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Solution

The fourth proportional to 242,686.96, 364,031.25 and 74,206.66 is: 111,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,686.96 : 364,031.25 = 74,206.66 : x
  2. Step 2: Convert to fraction form
    242,686.96/364,031.25 = 74,206.66/x
  3. Step 3: Cross multiply
    242,686.96x = 364,031.25 × 74,206.66
  4. Step 4: Simplify right side
    242,686.96x = 27,013,543,198.13
  5. Step 5: Solve for x
    x = 27,013,543,198.13/242,686.96
  6. Step 6: Final answer
    x = 111,310.24

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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.