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Finding the Fourth Proportional to 261,068.65, 360,268.22 and 144,781.44

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Solution

The fourth proportional to 261,068.65, 360,268.22 and 144,781.44 is: 199,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,068.65 : 360,268.22 = 144,781.44 : x
  2. Step 2: Convert to fraction form
    261,068.65/360,268.22 = 144,781.44/x
  3. Step 3: Cross multiply
    261,068.65x = 360,268.22 × 144,781.44
  4. Step 4: Simplify right side
    261,068.65x = 52,160,151,677.84
  5. Step 5: Solve for x
    x = 52,160,151,677.84/261,068.65
  6. Step 6: Final answer
    x = 199,794.77

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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.