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Finding the Fourth Proportional to 242,213.30, 363,449.55 and 101,986.10

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Solution

The fourth proportional to 242,213.30, 363,449.55 and 101,986.10 is: 153,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,213.30 : 363,449.55 = 101,986.10 : x
  2. Step 2: Convert to fraction form
    242,213.30/363,449.55 = 101,986.10/x
  3. Step 3: Cross multiply
    242,213.30x = 363,449.55 × 101,986.10
  4. Step 4: Simplify right side
    242,213.30x = 37,066,802,151.26
  5. Step 5: Solve for x
    x = 37,066,802,151.26/242,213.30
  6. Step 6: Final answer
    x = 153,033.72

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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.