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Finding the Fourth Proportional to 227,708.58, 341,603.01 and 77,913.66

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Solution

The fourth proportional to 227,708.58, 341,603.01 and 77,913.66 is: 116,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,708.58 : 341,603.01 = 77,913.66 : x
  2. Step 2: Convert to fraction form
    227,708.58/341,603.01 = 77,913.66/x
  3. Step 3: Cross multiply
    227,708.58x = 341,603.01 × 77,913.66
  4. Step 4: Simplify right side
    227,708.58x = 26,615,540,776.12
  5. Step 5: Solve for x
    x = 26,615,540,776.12/227,708.58
  6. Step 6: Final answer
    x = 116,884.22

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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.