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Finding the Fourth Proportional to 261,251.66, 360,504.24 and 144,968.06

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Solution

The fourth proportional to 261,251.66, 360,504.24 and 144,968.06 is: 200,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,251.66 : 360,504.24 = 144,968.06 : x
  2. Step 2: Convert to fraction form
    261,251.66/360,504.24 = 144,968.06/x
  3. Step 3: Cross multiply
    261,251.66x = 360,504.24 × 144,968.06
  4. Step 4: Simplify right side
    261,251.66x = 52,261,600,294.57
  5. Step 5: Solve for x
    x = 52,261,600,294.57/261,251.66
  6. Step 6: Final answer
    x = 200,043.13

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1.5x scale

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.