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Finding the Fourth Proportional to 113,478.40, 170,282.40 and 78,443.20

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Solution

The fourth proportional to 113,478.40, 170,282.40 and 78,443.20 is: 117,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,478.40 : 170,282.40 = 78,443.20 : x
  2. Step 2: Convert to fraction form
    113,478.40/170,282.40 = 78,443.20/x
  3. Step 3: Cross multiply
    113,478.40x = 170,282.40 × 78,443.20
  4. Step 4: Simplify right side
    113,478.40x = 13,357,496,359.68
  5. Step 5: Solve for x
    x = 13,357,496,359.68/113,478.40
  6. Step 6: Final answer
    x = 117,709.59

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Why These Related Problems?

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