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Finding the Fourth Proportional to 259,201.89, 357,700.24 and 144,487.82

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Solution

The fourth proportional to 259,201.89, 357,700.24 and 144,487.82 is: 199,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,201.89 : 357,700.24 = 144,487.82 : x
  2. Step 2: Convert to fraction form
    259,201.89/357,700.24 = 144,487.82/x
  3. Step 3: Cross multiply
    259,201.89x = 357,700.24 × 144,487.82
  4. Step 4: Simplify right side
    259,201.89x = 51,683,326,141.13
  5. Step 5: Solve for x
    x = 51,683,326,141.13/259,201.89
  6. Step 6: Final answer
    x = 199,394.09

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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.