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Finding the Fourth Proportional to 159,425.73, 220,099.01 and 105,783.48

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Solution

The fourth proportional to 159,425.73, 220,099.01 and 105,783.48 is: 146,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,425.73 : 220,099.01 = 105,783.48 : x
  2. Step 2: Convert to fraction form
    159,425.73/220,099.01 = 105,783.48/x
  3. Step 3: Cross multiply
    159,425.73x = 220,099.01 × 105,783.48
  4. Step 4: Simplify right side
    159,425.73x = 23,282,838,693.44
  5. Step 5: Solve for x
    x = 23,282,838,693.44/159,425.73
  6. Step 6: Final answer
    x = 146,041.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.