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Finding the Fourth Proportional to 243,106.52, 364,659.78 and 65,613.24

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Solution

The fourth proportional to 243,106.52, 364,659.78 and 65,613.24 is: 98,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,106.52 : 364,659.78 = 65,613.24 : x
  2. Step 2: Convert to fraction form
    243,106.52/364,659.78 = 65,613.24/x
  3. Step 3: Cross multiply
    243,106.52x = 364,659.78 × 65,613.24
  4. Step 4: Simplify right side
    243,106.52x = 23,926,509,663.49
  5. Step 5: Solve for x
    x = 23,926,509,663.49/243,106.52
  6. Step 6: Final answer
    x = 98,419.86

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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.