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Finding the Fourth Proportional to 130,657.20, 195,985.80 and 37,150.80

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Solution

The fourth proportional to 130,657.20, 195,985.80 and 37,150.80 is: 55,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,657.20 : 195,985.80 = 37,150.80 : x
  2. Step 2: Convert to fraction form
    130,657.20/195,985.80 = 37,150.80/x
  3. Step 3: Cross multiply
    130,657.20x = 195,985.80 × 37,150.80
  4. Step 4: Simplify right side
    130,657.20x = 7,281,029,258.64
  5. Step 5: Solve for x
    x = 7,281,029,258.64/130,657.20
  6. Step 6: Final answer
    x = 55,726.20

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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.