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Finding the Fourth Proportional to 210,536.42, 315,805.99 and 84,187.30

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Solution

The fourth proportional to 210,536.42, 315,805.99 and 84,187.30 is: 126,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,536.42 : 315,805.99 = 84,187.30 : x
  2. Step 2: Convert to fraction form
    210,536.42/315,805.99 = 84,187.30/x
  3. Step 3: Cross multiply
    210,536.42x = 315,805.99 × 84,187.30
  4. Step 4: Simplify right side
    210,536.42x = 26,586,853,371.93
  5. Step 5: Solve for x
    x = 26,586,853,371.93/210,536.42
  6. Step 6: Final answer
    x = 126,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.