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Finding the Fourth Proportional to 110,107.66, 151,946.10 and 64,164.46

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Solution

The fourth proportional to 110,107.66, 151,946.10 and 64,164.46 is: 88,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,107.66 : 151,946.10 = 64,164.46 : x
  2. Step 2: Convert to fraction form
    110,107.66/151,946.10 = 64,164.46/x
  3. Step 3: Cross multiply
    110,107.66x = 151,946.10 × 64,164.46
  4. Step 4: Simplify right side
    110,107.66x = 9,749,539,455.61
  5. Step 5: Solve for x
    x = 9,749,539,455.61/110,107.66
  6. Step 6: Final answer
    x = 88,545.51

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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.