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Finding the Fourth Proportional to 129,514.60, 194,214.30 and 59,415.40

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Solution

The fourth proportional to 129,514.60, 194,214.30 and 59,415.40 is: 89,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,514.60 : 194,214.30 = 59,415.40 : x
  2. Step 2: Convert to fraction form
    129,514.60/194,214.30 = 59,415.40/x
  3. Step 3: Cross multiply
    129,514.60x = 194,214.30 × 59,415.40
  4. Step 4: Simplify right side
    129,514.60x = 11,539,320,320.22
  5. Step 5: Solve for x
    x = 11,539,320,320.22/129,514.60
  6. Step 6: Final answer
    x = 89,096.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.