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Finding the Fourth Proportional to 113,836.40, 170,819.40 and 78,801.20

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Solution

The fourth proportional to 113,836.40, 170,819.40 and 78,801.20 is: 118,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,836.40 : 170,819.40 = 78,801.20 : x
  2. Step 2: Convert to fraction form
    113,836.40/170,819.40 = 78,801.20/x
  3. Step 3: Cross multiply
    113,836.40x = 170,819.40 × 78,801.20
  4. Step 4: Simplify right side
    113,836.40x = 13,460,773,703.28
  5. Step 5: Solve for x
    x = 13,460,773,703.28/113,836.40
  6. Step 6: Final answer
    x = 118,246.66

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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.