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Finding the Fourth Proportional to 130,754.64, 180,222.12 and 100,117.20

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Solution

The fourth proportional to 130,754.64, 180,222.12 and 100,117.20 is: 137,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,754.64 : 180,222.12 = 100,117.20 : x
  2. Step 2: Convert to fraction form
    130,754.64/180,222.12 = 100,117.20/x
  3. Step 3: Cross multiply
    130,754.64x = 180,222.12 × 100,117.20
  4. Step 4: Simplify right side
    130,754.64x = 18,043,334,032.46
  5. Step 5: Solve for x
    x = 18,043,334,032.46/130,754.64
  6. Step 6: Final answer
    x = 137,993.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.