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Finding the Fourth Proportional to 201,663.48, 278,264.76 and 116,764.14

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Solution

The fourth proportional to 201,663.48, 278,264.76 and 116,764.14 is: 161,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,663.48 : 278,264.76 = 116,764.14 : x
  2. Step 2: Convert to fraction form
    201,663.48/278,264.76 = 116,764.14/x
  3. Step 3: Cross multiply
    201,663.48x = 278,264.76 × 116,764.14
  4. Step 4: Simplify right side
    201,663.48x = 32,491,345,393.71
  5. Step 5: Solve for x
    x = 32,491,345,393.71/201,663.48
  6. Step 6: Final answer
    x = 161,116.66

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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.