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Finding the Fourth Proportional to 123,671.97, 185,533.11 and 52,594.47

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Solution

The fourth proportional to 123,671.97, 185,533.11 and 52,594.47 is: 78,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,671.97 : 185,533.11 = 52,594.47 : x
  2. Step 2: Convert to fraction form
    123,671.97/185,533.11 = 52,594.47/x
  3. Step 3: Cross multiply
    123,671.97x = 185,533.11 × 52,594.47
  4. Step 4: Simplify right side
    123,671.97x = 9,758,015,587.90
  5. Step 5: Solve for x
    x = 9,758,015,587.90/123,671.97
  6. Step 6: Final answer
    x = 78,902.40

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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.