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Finding the Fourth Proportional to 242,549.13, 363,151.94 and 123,965.13

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Solution

The fourth proportional to 242,549.13, 363,151.94 and 123,965.13 is: 185,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,549.13 : 363,151.94 = 123,965.13 : x
  2. Step 2: Convert to fraction form
    242,549.13/363,151.94 = 123,965.13/x
  3. Step 3: Cross multiply
    242,549.13x = 363,151.94 × 123,965.13
  4. Step 4: Simplify right side
    242,549.13x = 45,018,176,832.03
  5. Step 5: Solve for x
    x = 45,018,176,832.03/242,549.13
  6. Step 6: Final answer
    x = 185,604.36

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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.