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Finding the Fourth Proportional to 102,598.97, 153,952.62 and 72,805.73

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Solution

The fourth proportional to 102,598.97, 153,952.62 and 72,805.73 is: 109,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,598.97 : 153,952.62 = 72,805.73 : x
  2. Step 2: Convert to fraction form
    102,598.97/153,952.62 = 72,805.73/x
  3. Step 3: Cross multiply
    102,598.97x = 153,952.62 × 72,805.73
  4. Step 4: Simplify right side
    102,598.97x = 11,208,632,114.75
  5. Step 5: Solve for x
    x = 11,208,632,114.75/102,598.97
  6. Step 6: Final answer
    x = 109,247.03

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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.