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Finding the Fourth Proportional to 233,728.47, 350,651.82 and 65,248.67

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Solution

The fourth proportional to 233,728.47, 350,651.82 and 65,248.67 is: 97,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,728.47 : 350,651.82 = 65,248.67 : x
  2. Step 2: Convert to fraction form
    233,728.47/350,651.82 = 65,248.67/x
  3. Step 3: Cross multiply
    233,728.47x = 350,651.82 × 65,248.67
  4. Step 4: Simplify right side
    233,728.47x = 22,879,563,134.82
  5. Step 5: Solve for x
    x = 22,879,563,134.82/233,728.47
  6. Step 6: Final answer
    x = 97,889.50

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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.