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Finding the Fourth Proportional to 100,947.84, 139,298.50 and 59,548.38

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Solution

The fourth proportional to 100,947.84, 139,298.50 and 59,548.38 is: 82,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,947.84 : 139,298.50 = 59,548.38 : x
  2. Step 2: Convert to fraction form
    100,947.84/139,298.50 = 59,548.38/x
  3. Step 3: Cross multiply
    100,947.84x = 139,298.50 × 59,548.38
  4. Step 4: Simplify right side
    100,947.84x = 8,295,000,085.87
  5. Step 5: Solve for x
    x = 8,295,000,085.87/100,947.84
  6. Step 6: Final answer
    x = 82,171.15

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Why These Related Problems?

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