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Finding the Fourth Proportional to 165,641.80, 248,462.70 and 152,811.40

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Solution

The fourth proportional to 165,641.80, 248,462.70 and 152,811.40 is: 229,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,641.80 : 248,462.70 = 152,811.40 : x
  2. Step 2: Convert to fraction form
    165,641.80/248,462.70 = 152,811.40/x
  3. Step 3: Cross multiply
    165,641.80x = 248,462.70 × 152,811.40
  4. Step 4: Simplify right side
    165,641.80x = 37,967,933,034.78
  5. Step 5: Solve for x
    x = 37,967,933,034.78/165,641.80
  6. Step 6: Final answer
    x = 229,217.10

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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.