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Finding the Fourth Proportional to 165,645.40, 248,468.10 and 145,962.40

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Solution

The fourth proportional to 165,645.40, 248,468.10 and 145,962.40 is: 218,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,645.40 : 248,468.10 = 145,962.40 : x
  2. Step 2: Convert to fraction form
    165,645.40/248,468.10 = 145,962.40/x
  3. Step 3: Cross multiply
    165,645.40x = 248,468.10 × 145,962.40
  4. Step 4: Simplify right side
    165,645.40x = 36,267,000,199.44
  5. Step 5: Solve for x
    x = 36,267,000,199.44/165,645.40
  6. Step 6: Final answer
    x = 218,943.60

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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.