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Finding the Fourth Proportional to 253,970.38, 350,408.19 and 200,088.14

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Solution

The fourth proportional to 253,970.38, 350,408.19 and 200,088.14 is: 276,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,970.38 : 350,408.19 = 200,088.14 : x
  2. Step 2: Convert to fraction form
    253,970.38/350,408.19 = 200,088.14/x
  3. Step 3: Cross multiply
    253,970.38x = 350,408.19 × 200,088.14
  4. Step 4: Simplify right side
    253,970.38x = 70,112,522,977.87
  5. Step 5: Solve for x
    x = 70,112,522,977.87/253,970.38
  6. Step 6: Final answer
    x = 276,065.75

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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.