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Finding the Fourth Proportional to 180,475.59, 270,979.50 and 100,669.48

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Solution

The fourth proportional to 180,475.59, 270,979.50 and 100,669.48 is: 151,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,475.59 : 270,979.50 = 100,669.48 : x
  2. Step 2: Convert to fraction form
    180,475.59/270,979.50 = 100,669.48/x
  3. Step 3: Cross multiply
    180,475.59x = 270,979.50 × 100,669.48
  4. Step 4: Simplify right side
    180,475.59x = 27,279,364,300.70
  5. Step 5: Solve for x
    x = 27,279,364,300.70/180,475.59
  6. Step 6: Final answer
    x = 151,152.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.