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Finding the Fourth Proportional to 181,470.76, 271,623.74 and 97,019.88

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Solution

The fourth proportional to 181,470.76, 271,623.74 and 97,019.88 is: 145,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,470.76 : 271,623.74 = 97,019.88 : x
  2. Step 2: Convert to fraction form
    181,470.76/271,623.74 = 97,019.88/x
  3. Step 3: Cross multiply
    181,470.76x = 271,623.74 × 97,019.88
  4. Step 4: Simplify right side
    181,470.76x = 26,352,902,659.95
  5. Step 5: Solve for x
    x = 26,352,902,659.95/181,470.76
  6. Step 6: Final answer
    x = 145,218.45

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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.