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Finding the Fourth Proportional to 200,543.28, 300,814.92 and 95,304.84

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Solution

The fourth proportional to 200,543.28, 300,814.92 and 95,304.84 is: 142,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,543.28 : 300,814.92 = 95,304.84 : x
  2. Step 2: Convert to fraction form
    200,543.28/300,814.92 = 95,304.84/x
  3. Step 3: Cross multiply
    200,543.28x = 300,814.92 × 95,304.84
  4. Step 4: Simplify right side
    200,543.28x = 28,669,117,820.21
  5. Step 5: Solve for x
    x = 28,669,117,820.21/200,543.28
  6. Step 6: Final answer
    x = 142,957.26

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1.5x scale

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.