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Finding the Fourth Proportional to 106,478.92, 146,966.52 and 64,029.25

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Solution

The fourth proportional to 106,478.92, 146,966.52 and 64,029.25 is: 88,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478.92 : 146,966.52 = 64,029.25 : x
  2. Step 2: Convert to fraction form
    106,478.92/146,966.52 = 64,029.25/x
  3. Step 3: Cross multiply
    106,478.92x = 146,966.52 × 64,029.25
  4. Step 4: Simplify right side
    106,478.92x = 9,410,156,050.71
  5. Step 5: Solve for x
    x = 9,410,156,050.71/106,478.92
  6. Step 6: Final answer
    x = 88,375.77

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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.