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Finding the Fourth Proportional to 233,635.90, 350,448.80 and 65,151.74

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Solution

The fourth proportional to 233,635.90, 350,448.80 and 65,151.74 is: 97,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,635.90 : 350,448.80 = 65,151.74 : x
  2. Step 2: Convert to fraction form
    233,635.90/350,448.80 = 65,151.74/x
  3. Step 3: Cross multiply
    233,635.90x = 350,448.80 × 65,151.74
  4. Step 4: Simplify right side
    233,635.90x = 22,832,348,825.73
  5. Step 5: Solve for x
    x = 22,832,348,825.73/233,635.90
  6. Step 6: Final answer
    x = 97,726.20

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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.