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Finding the Fourth Proportional to 103,194.93, 142,414.80 and 77,655.33

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Solution

The fourth proportional to 103,194.93, 142,414.80 and 77,655.33 is: 107,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,194.93 : 142,414.80 = 77,655.33 : x
  2. Step 2: Convert to fraction form
    103,194.93/142,414.80 = 77,655.33/x
  3. Step 3: Cross multiply
    103,194.93x = 142,414.80 × 77,655.33
  4. Step 4: Simplify right side
    103,194.93x = 11,059,268,290.88
  5. Step 5: Solve for x
    x = 11,059,268,290.88/103,194.93
  6. Step 6: Final answer
    x = 107,168.72

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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.