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Finding the Fourth Proportional to 259,202.66, 357,656.38 and 144,456.26

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Solution

The fourth proportional to 259,202.66, 357,656.38 and 144,456.26 is: 199,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,202.66 : 357,656.38 = 144,456.26 : x
  2. Step 2: Convert to fraction form
    259,202.66/357,656.38 = 144,456.26/x
  3. Step 3: Cross multiply
    259,202.66x = 357,656.38 × 144,456.26
  4. Step 4: Simplify right side
    259,202.66x = 51,665,700,870.52
  5. Step 5: Solve for x
    x = 51,665,700,870.52/259,202.66
  6. Step 6: Final answer
    x = 199,325.51

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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.