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Finding the Fourth Proportional to 259,211.88, 357,718.14 and 144,502.38

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Solution

The fourth proportional to 259,211.88, 357,718.14 and 144,502.38 is: 199,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,211.88 : 357,718.14 = 144,502.38 : x
  2. Step 2: Convert to fraction form
    259,211.88/357,718.14 = 144,502.38/x
  3. Step 3: Cross multiply
    259,211.88x = 357,718.14 × 144,502.38
  4. Step 4: Simplify right side
    259,211.88x = 51,691,122,599.17
  5. Step 5: Solve for x
    x = 51,691,122,599.17/259,211.88
  6. Step 6: Final answer
    x = 199,416.49

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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.