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Finding the Fourth Proportional to 268,208.64, 402,333.56 and 76,079.77

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Solution

The fourth proportional to 268,208.64, 402,333.56 and 76,079.77 is: 114,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,208.64 : 402,333.56 = 76,079.77 : x
  2. Step 2: Convert to fraction form
    268,208.64/402,333.56 = 76,079.77/x
  3. Step 3: Cross multiply
    268,208.64x = 402,333.56 × 76,079.77
  4. Step 4: Simplify right side
    268,208.64x = 30,609,444,708.08
  5. Step 5: Solve for x
    x = 30,609,444,708.08/268,208.64
  6. Step 6: Final answer
    x = 114,125.50

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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.