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Finding the Fourth Proportional to 242,611.83, 363,973.14 and 74,156.13

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Solution

The fourth proportional to 242,611.83, 363,973.14 and 74,156.13 is: 111,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,611.83 : 363,973.14 = 74,156.13 : x
  2. Step 2: Convert to fraction form
    242,611.83/363,973.14 = 74,156.13/x
  3. Step 3: Cross multiply
    242,611.83x = 363,973.14 × 74,156.13
  4. Step 4: Simplify right side
    242,611.83x = 26,990,839,486.35
  5. Step 5: Solve for x
    x = 26,990,839,486.35/242,611.83
  6. Step 6: Final answer
    x = 111,251.13

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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.