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Finding the Fourth Proportional to 233,732.22, 350,657.46 and 65,252.43

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Solution

The fourth proportional to 233,732.22, 350,657.46 and 65,252.43 is: 97,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,732.22 : 350,657.46 = 65,252.43 : x
  2. Step 2: Convert to fraction form
    233,732.22/350,657.46 = 65,252.43/x
  3. Step 3: Cross multiply
    233,732.22x = 350,657.46 × 65,252.43
  4. Step 4: Simplify right side
    233,732.22x = 22,881,251,362.63
  5. Step 5: Solve for x
    x = 22,881,251,362.63/233,732.22
  6. Step 6: Final answer
    x = 97,895.15

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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.