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Finding the Fourth Proportional to 105,889.76, 146,076.56 and 70,109.75

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Solution

The fourth proportional to 105,889.76, 146,076.56 and 70,109.75 is: 96,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,889.76 : 146,076.56 = 70,109.75 : x
  2. Step 2: Convert to fraction form
    105,889.76/146,076.56 = 70,109.75/x
  3. Step 3: Cross multiply
    105,889.76x = 146,076.56 × 70,109.75
  4. Step 4: Simplify right side
    105,889.76x = 10,241,391,774.38
  5. Step 5: Solve for x
    x = 10,241,391,774.38/105,889.76
  6. Step 6: Final answer
    x = 96,717.49

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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.