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Finding the Fourth Proportional to 100,260, 138,358.86 and 59,975.46

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Solution

The fourth proportional to 100,260, 138,358.86 and 59,975.46 is: 82,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,260 : 138,358.86 = 59,975.46 : x
  2. Step 2: Convert to fraction form
    100,260/138,358.86 = 59,975.46/x
  3. Step 3: Cross multiply
    100,260x = 138,358.86 × 59,975.46
  4. Step 4: Simplify right side
    100,260x = 8,298,136,273.58
  5. Step 5: Solve for x
    x = 8,298,136,273.58/100,260
  6. Step 6: Final answer
    x = 82,766.17

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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.