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Finding the Fourth Proportional to 170,666, 255,989.40 and 52,337.02

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Solution

The fourth proportional to 170,666, 255,989.40 and 52,337.02 is: 78,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,666 : 255,989.40 = 52,337.02 : x
  2. Step 2: Convert to fraction form
    170,666/255,989.40 = 52,337.02/x
  3. Step 3: Cross multiply
    170,666x = 255,989.40 × 52,337.02
  4. Step 4: Simplify right side
    170,666x = 13,397,722,347.59
  5. Step 5: Solve for x
    x = 13,397,722,347.59/170,666
  6. Step 6: Final answer
    x = 78,502.59

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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.