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Finding the Fourth Proportional to 258,745.95, 357,069.37 and 144,022.14

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Solution

The fourth proportional to 258,745.95, 357,069.37 and 144,022.14 is: 198,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,745.95 : 357,069.37 = 144,022.14 : x
  2. Step 2: Convert to fraction form
    258,745.95/357,069.37 = 144,022.14/x
  3. Step 3: Cross multiply
    258,745.95x = 357,069.37 × 144,022.14
  4. Step 4: Simplify right side
    258,745.95x = 51,425,893,049.91
  5. Step 5: Solve for x
    x = 51,425,893,049.91/258,745.95
  6. Step 6: Final answer
    x = 198,750.52

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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.