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Finding the Fourth Proportional to 242,694.69, 364,017.42 and 65,178.63

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Solution

The fourth proportional to 242,694.69, 364,017.42 and 65,178.63 is: 97,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,694.69 : 364,017.42 = 65,178.63 : x
  2. Step 2: Convert to fraction form
    242,694.69/364,017.42 = 65,178.63/x
  3. Step 3: Cross multiply
    242,694.69x = 364,017.42 × 65,178.63
  4. Step 4: Simplify right side
    242,694.69x = 23,726,156,731.73
  5. Step 5: Solve for x
    x = 23,726,156,731.73/242,694.69
  6. Step 6: Final answer
    x = 97,761.33

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1.5x scale

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.