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Finding the Fourth Proportional to 268,653.88, 402,718.02 and 100,050.52

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Solution

The fourth proportional to 268,653.88, 402,718.02 and 100,050.52 is: 149,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,653.88 : 402,718.02 = 100,050.52 : x
  2. Step 2: Convert to fraction form
    268,653.88/402,718.02 = 100,050.52/x
  3. Step 3: Cross multiply
    268,653.88x = 402,718.02 × 100,050.52
  4. Step 4: Simplify right side
    268,653.88x = 40,292,147,314.37
  5. Step 5: Solve for x
    x = 40,292,147,314.37/268,653.88
  6. Step 6: Final answer
    x = 149,977.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.