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Finding the Fourth Proportional to 169,828.80, 254,138.40 and 147,883.20

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Solution

The fourth proportional to 169,828.80, 254,138.40 and 147,883.20 is: 221,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,828.80 : 254,138.40 = 147,883.20 : x
  2. Step 2: Convert to fraction form
    169,828.80/254,138.40 = 147,883.20/x
  3. Step 3: Cross multiply
    169,828.80x = 254,138.40 × 147,883.20
  4. Step 4: Simplify right side
    169,828.80x = 37,582,799,834.88
  5. Step 5: Solve for x
    x = 37,582,799,834.88/169,828.80
  6. Step 6: Final answer
    x = 221,298.15

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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.