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Finding the Fourth Proportional to 227,359.32, 341,065.30 and 75,569.95

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Solution

The fourth proportional to 227,359.32, 341,065.30 and 75,569.95 is: 113,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,359.32 : 341,065.30 = 75,569.95 : x
  2. Step 2: Convert to fraction form
    227,359.32/341,065.30 = 75,569.95/x
  3. Step 3: Cross multiply
    227,359.32x = 341,065.30 × 75,569.95
  4. Step 4: Simplify right side
    227,359.32x = 25,774,287,667.74
  5. Step 5: Solve for x
    x = 25,774,287,667.74/227,359.32
  6. Step 6: Final answer
    x = 113,363.67

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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.