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Finding the Fourth Proportional to 100,094.88, 138,109.02 and 59,802.60

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Solution

The fourth proportional to 100,094.88, 138,109.02 and 59,802.60 is: 82,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,094.88 : 138,109.02 = 59,802.60 : x
  2. Step 2: Convert to fraction form
    100,094.88/138,109.02 = 59,802.60/x
  3. Step 3: Cross multiply
    100,094.88x = 138,109.02 × 59,802.60
  4. Step 4: Simplify right side
    100,094.88x = 8,259,278,479.45
  5. Step 5: Solve for x
    x = 8,259,278,479.45/100,094.88
  6. Step 6: Final answer
    x = 82,514.50

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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.