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Finding the Fourth Proportional to 201,462.08, 278,024.28 and 110,825

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Solution

The fourth proportional to 201,462.08, 278,024.28 and 110,825 is: 152,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,462.08 : 278,024.28 = 110,825 : x
  2. Step 2: Convert to fraction form
    201,462.08/278,024.28 = 110,825/x
  3. Step 3: Cross multiply
    201,462.08x = 278,024.28 × 110,825
  4. Step 4: Simplify right side
    201,462.08x = 30,812,040,831.00
  5. Step 5: Solve for x
    x = 30,812,040,831.00/201,462.08
  6. Step 6: Final answer
    x = 152,942.14

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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.