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Finding the Fourth Proportional to 130,603.40, 195,978.92 and 55,716.46

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Solution

The fourth proportional to 130,603.40, 195,978.92 and 55,716.46 is: 83,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,603.40 : 195,978.92 = 55,716.46 : x
  2. Step 2: Convert to fraction form
    130,603.40/195,978.92 = 55,716.46/x
  3. Step 3: Cross multiply
    130,603.40x = 195,978.92 × 55,716.46
  4. Step 4: Simplify right side
    130,603.40x = 10,919,251,657.02
  5. Step 5: Solve for x
    x = 10,919,251,657.02/130,603.40
  6. Step 6: Final answer
    x = 83,606.18

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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.