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Finding the Fourth Proportional to 227,758.36, 341,602.51 and 75,958.10

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Solution

The fourth proportional to 227,758.36, 341,602.51 and 75,958.10 is: 113,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,758.36 : 341,602.51 = 75,958.10 : x
  2. Step 2: Convert to fraction form
    227,758.36/341,602.51 = 75,958.10/x
  3. Step 3: Cross multiply
    227,758.36x = 341,602.51 × 75,958.10
  4. Step 4: Simplify right side
    227,758.36x = 25,947,477,614.83
  5. Step 5: Solve for x
    x = 25,947,477,614.83/227,758.36
  6. Step 6: Final answer
    x = 113,925.47

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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.