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Finding the Fourth Proportional to 130,212.34, 179,712.18 and 82,470.14

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Solution

The fourth proportional to 130,212.34, 179,712.18 and 82,470.14 is: 113,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,212.34 : 179,712.18 = 82,470.14 : x
  2. Step 2: Convert to fraction form
    130,212.34/179,712.18 = 82,470.14/x
  3. Step 3: Cross multiply
    130,212.34x = 179,712.18 × 82,470.14
  4. Step 4: Simplify right side
    130,212.34x = 14,820,888,644.31
  5. Step 5: Solve for x
    x = 14,820,888,644.31/130,212.34
  6. Step 6: Final answer
    x = 113,820.92

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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.