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Finding the Fourth Proportional to 200,232.72, 299,840.76 and 120,220.92

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Solution

The fourth proportional to 200,232.72, 299,840.76 and 120,220.92 is: 180,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,232.72 : 299,840.76 = 120,220.92 : x
  2. Step 2: Convert to fraction form
    200,232.72/299,840.76 = 120,220.92/x
  3. Step 3: Cross multiply
    200,232.72x = 299,840.76 × 120,220.92
  4. Step 4: Simplify right side
    200,232.72x = 36,047,132,020.70
  5. Step 5: Solve for x
    x = 36,047,132,020.70/200,232.72
  6. Step 6: Final answer
    x = 180,026.18

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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.