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Finding the Fourth Proportional to 165,909.40, 248,864.10 and 98,549.80

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Solution

The fourth proportional to 165,909.40, 248,864.10 and 98,549.80 is: 147,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,909.40 : 248,864.10 = 98,549.80 : x
  2. Step 2: Convert to fraction form
    165,909.40/248,864.10 = 98,549.80/x
  3. Step 3: Cross multiply
    165,909.40x = 248,864.10 × 98,549.80
  4. Step 4: Simplify right side
    165,909.40x = 24,525,507,282.18
  5. Step 5: Solve for x
    x = 24,525,507,282.18/165,909.40
  6. Step 6: Final answer
    x = 147,824.70

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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.