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Finding the Fourth Proportional to 119,465.72, 164,859.20 and 65,750.72

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Solution

The fourth proportional to 119,465.72, 164,859.20 and 65,750.72 is: 90,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,465.72 : 164,859.20 = 65,750.72 : x
  2. Step 2: Convert to fraction form
    119,465.72/164,859.20 = 65,750.72/x
  3. Step 3: Cross multiply
    119,465.72x = 164,859.20 × 65,750.72
  4. Step 4: Simplify right side
    119,465.72x = 10,839,611,098.62
  5. Step 5: Solve for x
    x = 10,839,611,098.62/119,465.72
  6. Step 6: Final answer
    x = 90,734.07

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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.