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Finding the Fourth Proportional to 159,710.78, 239,914.05 and 96,560.66

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Solution

The fourth proportional to 159,710.78, 239,914.05 and 96,560.66 is: 145,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,710.78 : 239,914.05 = 96,560.66 : x
  2. Step 2: Convert to fraction form
    159,710.78/239,914.05 = 96,560.66/x
  3. Step 3: Cross multiply
    159,710.78x = 239,914.05 × 96,560.66
  4. Step 4: Simplify right side
    159,710.78x = 23,166,258,442.59
  5. Step 5: Solve for x
    x = 23,166,258,442.59/159,710.78
  6. Step 6: Final answer
    x = 145,051.32

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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.