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Finding the Fourth Proportional to 210,781.81, 316,189.19 and 61,024.33

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Solution

The fourth proportional to 210,781.81, 316,189.19 and 61,024.33 is: 91,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,781.81 : 316,189.19 = 61,024.33 : x
  2. Step 2: Convert to fraction form
    210,781.81/316,189.19 = 61,024.33/x
  3. Step 3: Cross multiply
    210,781.81x = 316,189.19 × 61,024.33
  4. Step 4: Simplify right side
    210,781.81x = 19,295,233,472.99
  5. Step 5: Solve for x
    x = 19,295,233,472.99/210,781.81
  6. Step 6: Final answer
    x = 91,541.26

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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.