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Finding the Fourth Proportional to 107,289.60, 160,948.80 and 37,190.40

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Solution

The fourth proportional to 107,289.60, 160,948.80 and 37,190.40 is: 55,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,289.60 : 160,948.80 = 37,190.40 : x
  2. Step 2: Convert to fraction form
    107,289.60/160,948.80 = 37,190.40/x
  3. Step 3: Cross multiply
    107,289.60x = 160,948.80 × 37,190.40
  4. Step 4: Simplify right side
    107,289.60x = 5,985,750,251.52
  5. Step 5: Solve for x
    x = 5,985,750,251.52/107,289.60
  6. Step 6: Final answer
    x = 55,790.59

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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.