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Finding the Fourth Proportional to 109,908.60, 164,807.70 and 53,752.92

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Solution

The fourth proportional to 109,908.60, 164,807.70 and 53,752.92 is: 80,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,908.60 : 164,807.70 = 53,752.92 : x
  2. Step 2: Convert to fraction form
    109,908.60/164,807.70 = 53,752.92/x
  3. Step 3: Cross multiply
    109,908.60x = 164,807.70 × 53,752.92
  4. Step 4: Simplify right side
    109,908.60x = 8,858,895,113.48
  5. Step 5: Solve for x
    x = 8,858,895,113.48/109,908.60
  6. Step 6: Final answer
    x = 80,602.38

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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.