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Finding the Fourth Proportional to 100,230.64, 138,316.72 and 54,908.24

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Solution

The fourth proportional to 100,230.64, 138,316.72 and 54,908.24 is: 75,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,230.64 : 138,316.72 = 54,908.24 : x
  2. Step 2: Convert to fraction form
    100,230.64/138,316.72 = 54,908.24/x
  3. Step 3: Cross multiply
    100,230.64x = 138,316.72 × 54,908.24
  4. Step 4: Simplify right side
    100,230.64x = 7,594,727,657.77
  5. Step 5: Solve for x
    x = 7,594,727,657.77/100,230.64
  6. Step 6: Final answer
    x = 75,772.51

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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.