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Finding the Fourth Proportional to 165,649.80, 248,474.70 and 152,819.40

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Solution

The fourth proportional to 165,649.80, 248,474.70 and 152,819.40 is: 229,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,649.80 : 248,474.70 = 152,819.40 : x
  2. Step 2: Convert to fraction form
    165,649.80/248,474.70 = 152,819.40/x
  3. Step 3: Cross multiply
    165,649.80x = 248,474.70 × 152,819.40
  4. Step 4: Simplify right side
    165,649.80x = 37,971,754,569.18
  5. Step 5: Solve for x
    x = 37,971,754,569.18/165,649.80
  6. Step 6: Final answer
    x = 229,229.10

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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.