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Finding the Fourth Proportional to 202,963.65, 280,082.93 and 112,323.44

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Solution

The fourth proportional to 202,963.65, 280,082.93 and 112,323.44 is: 155,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,963.65 : 280,082.93 = 112,323.44 : x
  2. Step 2: Convert to fraction form
    202,963.65/280,082.93 = 112,323.44/x
  3. Step 3: Cross multiply
    202,963.65x = 280,082.93 × 112,323.44
  4. Step 4: Simplify right side
    202,963.65x = 31,459,876,220.85
  5. Step 5: Solve for x
    x = 31,459,876,220.85/202,963.65
  6. Step 6: Final answer
    x = 155,002.52

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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.