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Finding the Fourth Proportional to 242,698.61, 363,761.97 and 109,422.83

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Solution

The fourth proportional to 242,698.61, 363,761.97 and 109,422.83 is: 164,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,698.61 : 363,761.97 = 109,422.83 : x
  2. Step 2: Convert to fraction form
    242,698.61/363,761.97 = 109,422.83/x
  3. Step 3: Cross multiply
    242,698.61x = 363,761.97 × 109,422.83
  4. Step 4: Simplify right side
    242,698.61x = 39,803,862,795.30
  5. Step 5: Solve for x
    x = 39,803,862,795.30/242,698.61
  6. Step 6: Final answer
    x = 164,005.32

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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.