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Finding the Fourth Proportional to 146,281.38, 201,850.41 and 81,754.08

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Solution

The fourth proportional to 146,281.38, 201,850.41 and 81,754.08 is: 112,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,281.38 : 201,850.41 = 81,754.08 : x
  2. Step 2: Convert to fraction form
    146,281.38/201,850.41 = 81,754.08/x
  3. Step 3: Cross multiply
    146,281.38x = 201,850.41 × 81,754.08
  4. Step 4: Simplify right side
    146,281.38x = 16,502,094,116.81
  5. Step 5: Solve for x
    x = 16,502,094,116.81/146,281.38
  6. Step 6: Final answer
    x = 112,810.63

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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.