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Finding the Fourth Proportional to 117,357.74, 161,952.26 and 63,642.13

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Solution

The fourth proportional to 117,357.74, 161,952.26 and 63,642.13 is: 87,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,357.74 : 161,952.26 = 63,642.13 : x
  2. Step 2: Convert to fraction form
    117,357.74/161,952.26 = 63,642.13/x
  3. Step 3: Cross multiply
    117,357.74x = 161,952.26 × 63,642.13
  4. Step 4: Simplify right side
    117,357.74x = 10,306,986,784.71
  5. Step 5: Solve for x
    x = 10,306,986,784.71/117,357.74
  6. Step 6: Final answer
    x = 87,825.37

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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.