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Finding the Fourth Proportional to 119,482.24, 164,884.19 and 65,766.10

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Solution

The fourth proportional to 119,482.24, 164,884.19 and 65,766.10 is: 90,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,482.24 : 164,884.19 = 65,766.10 : x
  2. Step 2: Convert to fraction form
    119,482.24/164,884.19 = 65,766.10/x
  3. Step 3: Cross multiply
    119,482.24x = 164,884.19 × 65,766.10
  4. Step 4: Simplify right side
    119,482.24x = 10,843,790,127.96
  5. Step 5: Solve for x
    x = 10,843,790,127.96/119,482.24
  6. Step 6: Final answer
    x = 90,756.50

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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.