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Finding the Fourth Proportional to 295,205.80, 442,808.70 and 145,469.20

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Solution

The fourth proportional to 295,205.80, 442,808.70 and 145,469.20 is: 218,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,205.80 : 442,808.70 = 145,469.20 : x
  2. Step 2: Convert to fraction form
    295,205.80/442,808.70 = 145,469.20/x
  3. Step 3: Cross multiply
    295,205.80x = 442,808.70 × 145,469.20
  4. Step 4: Simplify right side
    295,205.80x = 64,415,027,342.04
  5. Step 5: Solve for x
    x = 64,415,027,342.04/295,205.80
  6. Step 6: Final answer
    x = 218,203.80

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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.