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Finding the Fourth Proportional to 147,029.30, 220,659.15 and 68,153.30

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Solution

The fourth proportional to 147,029.30, 220,659.15 and 68,153.30 is: 102,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,029.30 : 220,659.15 = 68,153.30 : x
  2. Step 2: Convert to fraction form
    147,029.30/220,659.15 = 68,153.30/x
  3. Step 3: Cross multiply
    147,029.30x = 220,659.15 × 68,153.30
  4. Step 4: Simplify right side
    147,029.30x = 15,038,649,247.70
  5. Step 5: Solve for x
    x = 15,038,649,247.70/147,029.30
  6. Step 6: Final answer
    x = 102,283.35

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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.