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Finding the Fourth Proportional to 259,162.44, 357,656.16 and 144,448.60

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Solution

The fourth proportional to 259,162.44, 357,656.16 and 144,448.60 is: 199,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,162.44 : 357,656.16 = 144,448.60 : x
  2. Step 2: Convert to fraction form
    259,162.44/357,656.16 = 144,448.60/x
  3. Step 3: Cross multiply
    259,162.44x = 357,656.16 × 144,448.60
  4. Step 4: Simplify right side
    259,162.44x = 51,662,931,593.38
  5. Step 5: Solve for x
    x = 51,662,931,593.38/259,162.44
  6. Step 6: Final answer
    x = 199,345.75

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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.