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Finding the Fourth Proportional to 165,655.80, 248,216.40 and 149,909.40

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Solution

The fourth proportional to 165,655.80, 248,216.40 and 149,909.40 is: 224,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655.80 : 248,216.40 = 149,909.40 : x
  2. Step 2: Convert to fraction form
    165,655.80/248,216.40 = 149,909.40/x
  3. Step 3: Cross multiply
    165,655.80x = 248,216.40 × 149,909.40
  4. Step 4: Simplify right side
    165,655.80x = 37,209,971,594.16
  5. Step 5: Solve for x
    x = 37,209,971,594.16/165,655.80
  6. Step 6: Final answer
    x = 224,622.21

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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.