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Finding the Fourth Proportional to 102,296.80, 153,432.72 and 27,422.56

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Solution

The fourth proportional to 102,296.80, 153,432.72 and 27,422.56 is: 41,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,296.80 : 153,432.72 = 27,422.56 : x
  2. Step 2: Convert to fraction form
    102,296.80/153,432.72 = 27,422.56/x
  3. Step 3: Cross multiply
    102,296.80x = 153,432.72 × 27,422.56
  4. Step 4: Simplify right side
    102,296.80x = 4,207,517,970.16
  5. Step 5: Solve for x
    x = 4,207,517,970.16/102,296.80
  6. Step 6: Final answer
    x = 41,130.49

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1.5x scale

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.