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Finding the Fourth Proportional to 130,718.13, 180,391.01 and 71,102.13

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Solution

The fourth proportional to 130,718.13, 180,391.01 and 71,102.13 is: 98,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,718.13 : 180,391.01 = 71,102.13 : x
  2. Step 2: Convert to fraction form
    130,718.13/180,391.01 = 71,102.13/x
  3. Step 3: Cross multiply
    130,718.13x = 180,391.01 × 71,102.13
  4. Step 4: Simplify right side
    130,718.13x = 12,826,185,043.85
  5. Step 5: Solve for x
    x = 12,826,185,043.85/130,718.13
  6. Step 6: Final answer
    x = 98,120.93

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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.