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Finding the Fourth Proportional to 152,799.33, 210,864.92 and 84,817.65

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Solution

The fourth proportional to 152,799.33, 210,864.92 and 84,817.65 is: 117,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,799.33 : 210,864.92 = 84,817.65 : x
  2. Step 2: Convert to fraction form
    152,799.33/210,864.92 = 84,817.65/x
  3. Step 3: Cross multiply
    152,799.33x = 210,864.92 × 84,817.65
  4. Step 4: Simplify right side
    152,799.33x = 17,885,066,557.75
  5. Step 5: Solve for x
    x = 17,885,066,557.75/152,799.33
  6. Step 6: Final answer
    x = 117,049.38

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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.