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Finding the Fourth Proportional to 144,821.40, 217,134.90 and 69,977.40

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Solution

The fourth proportional to 144,821.40, 217,134.90 and 69,977.40 is: 104,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,821.40 : 217,134.90 = 69,977.40 : x
  2. Step 2: Convert to fraction form
    144,821.40/217,134.90 = 69,977.40/x
  3. Step 3: Cross multiply
    144,821.40x = 217,134.90 × 69,977.40
  4. Step 4: Simplify right side
    144,821.40x = 15,194,535,751.26
  5. Step 5: Solve for x
    x = 15,194,535,751.26/144,821.40
  6. Step 6: Final answer
    x = 104,919.13

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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.