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Finding the Fourth Proportional to 100,304.25, 138,419.31 and 54,984.16

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Solution

The fourth proportional to 100,304.25, 138,419.31 and 54,984.16 is: 75,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,304.25 : 138,419.31 = 54,984.16 : x
  2. Step 2: Convert to fraction form
    100,304.25/138,419.31 = 54,984.16/x
  3. Step 3: Cross multiply
    100,304.25x = 138,419.31 × 54,984.16
  4. Step 4: Simplify right side
    100,304.25x = 7,610,869,488.13
  5. Step 5: Solve for x
    x = 7,610,869,488.13/100,304.25
  6. Step 6: Final answer
    x = 75,877.84

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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.