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Finding the Fourth Proportional to 113,478.70, 170,218.05 and 78,486.70

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Solution

The fourth proportional to 113,478.70, 170,218.05 and 78,486.70 is: 117,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,478.70 : 170,218.05 = 78,486.70 : x
  2. Step 2: Convert to fraction form
    113,478.70/170,218.05 = 78,486.70/x
  3. Step 3: Cross multiply
    113,478.70x = 170,218.05 × 78,486.70
  4. Step 4: Simplify right side
    113,478.70x = 13,359,853,024.94
  5. Step 5: Solve for x
    x = 13,359,853,024.94/113,478.70
  6. Step 6: Final answer
    x = 117,730.05

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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.