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Finding the Fourth Proportional to 146,717.31, 202,474.70 and 83,053.74

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Solution

The fourth proportional to 146,717.31, 202,474.70 and 83,053.74 is: 114,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,717.31 : 202,474.70 = 83,053.74 : x
  2. Step 2: Convert to fraction form
    146,717.31/202,474.70 = 83,053.74/x
  3. Step 3: Cross multiply
    146,717.31x = 202,474.70 × 83,053.74
  4. Step 4: Simplify right side
    146,717.31x = 16,816,281,090.38
  5. Step 5: Solve for x
    x = 16,816,281,090.38/146,717.31
  6. Step 6: Final answer
    x = 114,616.89

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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.