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Finding the Fourth Proportional to 200,042.55, 276,066.16 and 109,393.16

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Solution

The fourth proportional to 200,042.55, 276,066.16 and 109,393.16 is: 150,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,042.55 : 276,066.16 = 109,393.16 : x
  2. Step 2: Convert to fraction form
    200,042.55/276,066.16 = 109,393.16/x
  3. Step 3: Cross multiply
    200,042.55x = 276,066.16 × 109,393.16
  4. Step 4: Simplify right side
    200,042.55x = 30,199,747,957.65
  5. Step 5: Solve for x
    x = 30,199,747,957.65/200,042.55
  6. Step 6: Final answer
    x = 150,966.62

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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.