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Finding the Fourth Proportional to 147,140.80, 220,826.40 and 68,264.80

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Solution

The fourth proportional to 147,140.80, 220,826.40 and 68,264.80 is: 102,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,140.80 : 220,826.40 = 68,264.80 : x
  2. Step 2: Convert to fraction form
    147,140.80/220,826.40 = 68,264.80/x
  3. Step 3: Cross multiply
    147,140.80x = 220,826.40 × 68,264.80
  4. Step 4: Simplify right side
    147,140.80x = 15,074,670,030.72
  5. Step 5: Solve for x
    x = 15,074,670,030.72/147,140.80
  6. Step 6: Final answer
    x = 102,450.65

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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.