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Finding the Fourth Proportional to 106,478.75, 146,920.23 and 64,040.02

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Solution

The fourth proportional to 106,478.75, 146,920.23 and 64,040.02 is: 88,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478.75 : 146,920.23 = 64,040.02 : x
  2. Step 2: Convert to fraction form
    106,478.75/146,920.23 = 64,040.02/x
  3. Step 3: Cross multiply
    106,478.75x = 146,920.23 × 64,040.02
  4. Step 4: Simplify right side
    106,478.75x = 9,408,774,100.30
  5. Step 5: Solve for x
    x = 9,408,774,100.30/106,478.75
  6. Step 6: Final answer
    x = 88,362.93

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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.