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Finding the Fourth Proportional to 204,761.40, 282,566.40 and 114,125.64

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Solution

The fourth proportional to 204,761.40, 282,566.40 and 114,125.64 is: 157,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,761.40 : 282,566.40 = 114,125.64 : x
  2. Step 2: Convert to fraction form
    204,761.40/282,566.40 = 114,125.64/x
  3. Step 3: Cross multiply
    204,761.40x = 282,566.40 × 114,125.64
  4. Step 4: Simplify right side
    204,761.40x = 32,248,071,242.50
  5. Step 5: Solve for x
    x = 32,248,071,242.50/204,761.40
  6. Step 6: Final answer
    x = 157,490.97

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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.