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Finding the Fourth Proportional to 147,359.10, 221,040.17 and 117,963.80

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Solution

The fourth proportional to 147,359.10, 221,040.17 and 117,963.80 is: 176,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,359.10 : 221,040.17 = 117,963.80 : x
  2. Step 2: Convert to fraction form
    147,359.10/221,040.17 = 117,963.80/x
  3. Step 3: Cross multiply
    147,359.10x = 221,040.17 × 117,963.80
  4. Step 4: Simplify right side
    147,359.10x = 26,074,738,405.85
  5. Step 5: Solve for x
    x = 26,074,738,405.85/147,359.10
  6. Step 6: Final answer
    x = 176,946.92

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Why These Related Problems?

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