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Finding the Fourth Proportional to 144,209.61, 216,012.69 and 115,977.06

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Solution

The fourth proportional to 144,209.61, 216,012.69 and 115,977.06 is: 173,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,209.61 : 216,012.69 = 115,977.06 : x
  2. Step 2: Convert to fraction form
    144,209.61/216,012.69 = 115,977.06/x
  3. Step 3: Cross multiply
    144,209.61x = 216,012.69 × 115,977.06
  4. Step 4: Simplify right side
    144,209.61x = 25,052,516,708.89
  5. Step 5: Solve for x
    x = 25,052,516,708.89/144,209.61
  6. Step 6: Final answer
    x = 173,722.94

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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.