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Finding the Fourth Proportional to 233,610, 322,381.84 and 127,626

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Solution

The fourth proportional to 233,610, 322,381.84 and 127,626 is: 176,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,610 : 322,381.84 = 127,626 : x
  2. Step 2: Convert to fraction form
    233,610/322,381.84 = 127,626/x
  3. Step 3: Cross multiply
    233,610x = 322,381.84 × 127,626
  4. Step 4: Simplify right side
    233,610x = 41,144,304,711.84
  5. Step 5: Solve for x
    x = 41,144,304,711.84/233,610
  6. Step 6: Final answer
    x = 176,123.90

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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.