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Finding the Fourth Proportional to 100,097.68, 138,128.83 and 54,766.63

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Solution

The fourth proportional to 100,097.68, 138,128.83 and 54,766.63 is: 75,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.68 : 138,128.83 = 54,766.63 : x
  2. Step 2: Convert to fraction form
    100,097.68/138,128.83 = 54,766.63/x
  3. Step 3: Cross multiply
    100,097.68x = 138,128.83 × 54,766.63
  4. Step 4: Simplify right side
    100,097.68x = 7,564,850,524.94
  5. Step 5: Solve for x
    x = 7,564,850,524.94/100,097.68
  6. Step 6: Final answer
    x = 75,574.68

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1.5x scale

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.