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Finding the Fourth Proportional to 242,497.80, 363,721.05 and 65,022.75

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Solution

The fourth proportional to 242,497.80, 363,721.05 and 65,022.75 is: 97,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,497.80 : 363,721.05 = 65,022.75 : x
  2. Step 2: Convert to fraction form
    242,497.80/363,721.05 = 65,022.75/x
  3. Step 3: Cross multiply
    242,497.80x = 363,721.05 × 65,022.75
  4. Step 4: Simplify right side
    242,497.80x = 23,650,142,903.89
  5. Step 5: Solve for x
    x = 23,650,142,903.89/242,497.80
  6. Step 6: Final answer
    x = 97,527.25

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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.