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Finding the Fourth Proportional to 100,159.59, 138,220.35 and 54,837.93

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Solution

The fourth proportional to 100,159.59, 138,220.35 and 54,837.93 is: 75,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.59 : 138,220.35 = 54,837.93 : x
  2. Step 2: Convert to fraction form
    100,159.59/138,220.35 = 54,837.93/x
  3. Step 3: Cross multiply
    100,159.59x = 138,220.35 × 54,837.93
  4. Step 4: Simplify right side
    100,159.59x = 7,579,717,877.88
  5. Step 5: Solve for x
    x = 7,579,717,877.88/100,159.59
  6. Step 6: Final answer
    x = 75,676.41

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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.