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Finding the Fourth Proportional to 204,275.98, 281,903.00 and 112,396.47

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Solution

The fourth proportional to 204,275.98, 281,903.00 and 112,396.47 is: 155,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,275.98 : 281,903.00 = 112,396.47 : x
  2. Step 2: Convert to fraction form
    204,275.98/281,903.00 = 112,396.47/x
  3. Step 3: Cross multiply
    204,275.98x = 281,903.00 × 112,396.47
  4. Step 4: Simplify right side
    204,275.98x = 31,684,901,340.82
  5. Step 5: Solve for x
    x = 31,684,901,340.82/204,275.98
  6. Step 6: Final answer
    x = 155,108.30

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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.