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Finding the Fourth Proportional to 259,172.70, 357,661.90 and 144,448.14

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Solution

The fourth proportional to 259,172.70, 357,661.90 and 144,448.14 is: 199,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,172.70 : 357,661.90 = 144,448.14 : x
  2. Step 2: Convert to fraction form
    259,172.70/357,661.90 = 144,448.14/x
  3. Step 3: Cross multiply
    259,172.70x = 357,661.90 × 144,448.14
  4. Step 4: Simplify right side
    259,172.70x = 51,663,596,203.87
  5. Step 5: Solve for x
    x = 51,663,596,203.87/259,172.70
  6. Step 6: Final answer
    x = 199,340.43

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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.