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Finding the Fourth Proportional to 201,695.20, 302,542.80 and 174,047.20

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Solution

The fourth proportional to 201,695.20, 302,542.80 and 174,047.20 is: 261,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,695.20 : 302,542.80 = 174,047.20 : x
  2. Step 2: Convert to fraction form
    201,695.20/302,542.80 = 174,047.20/x
  3. Step 3: Cross multiply
    201,695.20x = 302,542.80 × 174,047.20
  4. Step 4: Simplify right side
    201,695.20x = 52,656,727,220.16
  5. Step 5: Solve for x
    x = 52,656,727,220.16/201,695.20
  6. Step 6: Final answer
    x = 261,070.80

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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.