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Finding the Fourth Proportional to 259,054.44, 357,513.42 and 144,340.62

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Solution

The fourth proportional to 259,054.44, 357,513.42 and 144,340.62 is: 199,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,054.44 : 357,513.42 = 144,340.62 : x
  2. Step 2: Convert to fraction form
    259,054.44/357,513.42 = 144,340.62/x
  3. Step 3: Cross multiply
    259,054.44x = 357,513.42 × 144,340.62
  4. Step 4: Simplify right side
    259,054.44x = 51,603,708,701.12
  5. Step 5: Solve for x
    x = 51,603,708,701.12/259,054.44
  6. Step 6: Final answer
    x = 199,200.25

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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.