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Finding the Fourth Proportional to 150,633.84, 207,874.80 and 83,565.84

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Solution

The fourth proportional to 150,633.84, 207,874.80 and 83,565.84 is: 115,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,633.84 : 207,874.80 = 83,565.84 : x
  2. Step 2: Convert to fraction form
    150,633.84/207,874.80 = 83,565.84/x
  3. Step 3: Cross multiply
    150,633.84x = 207,874.80 × 83,565.84
  4. Step 4: Simplify right side
    150,633.84x = 17,371,232,276.83
  5. Step 5: Solve for x
    x = 17,371,232,276.83/150,633.84
  6. Step 6: Final answer
    x = 115,320.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.