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Finding the Fourth Proportional to 194,894.64, 268,868.88 and 114,281.28

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Solution

The fourth proportional to 194,894.64, 268,868.88 and 114,281.28 is: 157,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,894.64 : 268,868.88 = 114,281.28 : x
  2. Step 2: Convert to fraction form
    194,894.64/268,868.88 = 114,281.28/x
  3. Step 3: Cross multiply
    194,894.64x = 268,868.88 × 114,281.28
  4. Step 4: Simplify right side
    194,894.64x = 30,726,679,758.57
  5. Step 5: Solve for x
    x = 30,726,679,758.57/194,894.64
  6. Step 6: Final answer
    x = 157,657.90

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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.