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Finding the Fourth Proportional to 119,135.60, 178,703.40 and 113,886.80

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Solution

The fourth proportional to 119,135.60, 178,703.40 and 113,886.80 is: 170,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,135.60 : 178,703.40 = 113,886.80 : x
  2. Step 2: Convert to fraction form
    119,135.60/178,703.40 = 113,886.80/x
  3. Step 3: Cross multiply
    119,135.60x = 178,703.40 × 113,886.80
  4. Step 4: Simplify right side
    119,135.60x = 20,351,958,375.12
  5. Step 5: Solve for x
    x = 20,351,958,375.12/119,135.60
  6. Step 6: Final answer
    x = 170,830.20

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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.