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Finding the Fourth Proportional to 193,102.80, 289,848.60 and 93,343.20

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Solution

The fourth proportional to 193,102.80, 289,848.60 and 93,343.20 is: 140,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,102.80 : 289,848.60 = 93,343.20 : x
  2. Step 2: Convert to fraction form
    193,102.80/289,848.60 = 93,343.20/x
  3. Step 3: Cross multiply
    193,102.80x = 289,848.60 × 93,343.20
  4. Step 4: Simplify right side
    193,102.80x = 27,055,395,839.52
  5. Step 5: Solve for x
    x = 27,055,395,839.52/193,102.80
  6. Step 6: Final answer
    x = 140,108.77

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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.