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Finding the Fourth Proportional to 144,952.46, 200,034 and 81,291.62

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Solution

The fourth proportional to 144,952.46, 200,034 and 81,291.62 is: 112,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,952.46 : 200,034 = 81,291.62 : x
  2. Step 2: Convert to fraction form
    144,952.46/200,034 = 81,291.62/x
  3. Step 3: Cross multiply
    144,952.46x = 200,034 × 81,291.62
  4. Step 4: Simplify right side
    144,952.46x = 16,261,086,914.91
  5. Step 5: Solve for x
    x = 16,261,086,914.91/144,952.46
  6. Step 6: Final answer
    x = 112,182.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.