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Finding the Fourth Proportional to 119,229.71, 164,536.95 and 65,518.19

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Solution

The fourth proportional to 119,229.71, 164,536.95 and 65,518.19 is: 90,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,229.71 : 164,536.95 = 65,518.19 : x
  2. Step 2: Convert to fraction form
    119,229.71/164,536.95 = 65,518.19/x
  3. Step 3: Cross multiply
    119,229.71x = 164,536.95 × 65,518.19
  4. Step 4: Simplify right side
    119,229.71x = 10,780,162,740.78
  5. Step 5: Solve for x
    x = 10,780,162,740.78/119,229.71
  6. Step 6: Final answer
    x = 90,415.07

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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.