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Finding the Fourth Proportional to 152,589.38, 210,575.87 and 84,609.22

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Solution

The fourth proportional to 152,589.38, 210,575.87 and 84,609.22 is: 116,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,589.38 : 210,575.87 = 84,609.22 : x
  2. Step 2: Convert to fraction form
    152,589.38/210,575.87 = 84,609.22/x
  3. Step 3: Cross multiply
    152,589.38x = 210,575.87 × 84,609.22
  4. Step 4: Simplify right side
    152,589.38x = 17,816,660,111.52
  5. Step 5: Solve for x
    x = 17,816,660,111.52/152,589.38
  6. Step 6: Final answer
    x = 116,762.12

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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.