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Finding the Fourth Proportional to 130,199.40, 195,129 and 71,019.18

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Solution

The fourth proportional to 130,199.40, 195,129 and 71,019.18 is: 106,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,199.40 : 195,129 = 71,019.18 : x
  2. Step 2: Convert to fraction form
    130,199.40/195,129 = 71,019.18/x
  3. Step 3: Cross multiply
    130,199.40x = 195,129 × 71,019.18
  4. Step 4: Simplify right side
    130,199.40x = 13,857,901,574.22
  5. Step 5: Solve for x
    x = 13,857,901,574.22/130,199.40
  6. Step 6: Final answer
    x = 106,435.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.