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Finding the Fourth Proportional to 204,254.28, 281,870.88 and 114,830.28

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Solution

The fourth proportional to 204,254.28, 281,870.88 and 114,830.28 is: 158,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,254.28 : 281,870.88 = 114,830.28 : x
  2. Step 2: Convert to fraction form
    204,254.28/281,870.88 = 114,830.28/x
  3. Step 3: Cross multiply
    204,254.28x = 281,870.88 × 114,830.28
  4. Step 4: Simplify right side
    204,254.28x = 32,367,312,074.25
  5. Step 5: Solve for x
    x = 32,367,312,074.25/204,254.28
  6. Step 6: Final answer
    x = 158,465.77

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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.