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Finding the Fourth Proportional to 202,143.45, 278,953.07 and 111,497.46

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Solution

The fourth proportional to 202,143.45, 278,953.07 and 111,497.46 is: 153,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143.45 : 278,953.07 = 111,497.46 : x
  2. Step 2: Convert to fraction form
    202,143.45/278,953.07 = 111,497.46/x
  3. Step 3: Cross multiply
    202,143.45x = 278,953.07 × 111,497.46
  4. Step 4: Simplify right side
    202,143.45x = 31,102,558,206.71
  5. Step 5: Solve for x
    x = 31,102,558,206.71/202,143.45
  6. Step 6: Final answer
    x = 153,863.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.