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Finding the Fourth Proportional to 242,215.93, 363,360.80 and 123,847.30

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Solution

The fourth proportional to 242,215.93, 363,360.80 and 123,847.30 is: 185,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,215.93 : 363,360.80 = 123,847.30 : x
  2. Step 2: Convert to fraction form
    242,215.93/363,360.80 = 123,847.30/x
  3. Step 3: Cross multiply
    242,215.93x = 363,360.80 × 123,847.30
  4. Step 4: Simplify right side
    242,215.93x = 45,001,254,005.84
  5. Step 5: Solve for x
    x = 45,001,254,005.84/242,215.93
  6. Step 6: Final answer
    x = 185,789.82

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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.