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Finding the Fourth Proportional to 106,110, 158,772.36 and 64,014.48

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Solution

The fourth proportional to 106,110, 158,772.36 and 64,014.48 is: 95,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,110 : 158,772.36 = 64,014.48 : x
  2. Step 2: Convert to fraction form
    106,110/158,772.36 = 64,014.48/x
  3. Step 3: Cross multiply
    106,110x = 158,772.36 × 64,014.48
  4. Step 4: Simplify right side
    106,110x = 10,163,730,063.77
  5. Step 5: Solve for x
    x = 10,163,730,063.77/106,110
  6. Step 6: Final answer
    x = 95,784.85

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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.