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Finding the Fourth Proportional to 227,146.19, 340,342.61 and 138,130.43

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Solution

The fourth proportional to 227,146.19, 340,342.61 and 138,130.43 is: 206,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,146.19 : 340,342.61 = 138,130.43 : x
  2. Step 2: Convert to fraction form
    227,146.19/340,342.61 = 138,130.43/x
  3. Step 3: Cross multiply
    227,146.19x = 340,342.61 × 138,130.43
  4. Step 4: Simplify right side
    227,146.19x = 47,011,668,674.26
  5. Step 5: Solve for x
    x = 47,011,668,674.26/227,146.19
  6. Step 6: Final answer
    x = 206,966.58

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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.