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Finding the Fourth Proportional to 200,895.32, 277,276.56 and 116,000.84

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Solution

The fourth proportional to 200,895.32, 277,276.56 and 116,000.84 is: 160,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,895.32 : 277,276.56 = 116,000.84 : x
  2. Step 2: Convert to fraction form
    200,895.32/277,276.56 = 116,000.84/x
  3. Step 3: Cross multiply
    200,895.32x = 277,276.56 × 116,000.84
  4. Step 4: Simplify right side
    200,895.32x = 32,164,313,872.31
  5. Step 5: Solve for x
    x = 32,164,313,872.31/200,895.32
  6. Step 6: Final answer
    x = 160,104.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.