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Finding the Fourth Proportional to 227,978.70, 341,935.65 and 70,223.10

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Solution

The fourth proportional to 227,978.70, 341,935.65 and 70,223.10 is: 105,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.70 : 341,935.65 = 70,223.10 : x
  2. Step 2: Convert to fraction form
    227,978.70/341,935.65 = 70,223.10/x
  3. Step 3: Cross multiply
    227,978.70x = 341,935.65 × 70,223.10
  4. Step 4: Simplify right side
    227,978.70x = 24,011,781,343.52
  5. Step 5: Solve for x
    x = 24,011,781,343.52/227,978.70
  6. Step 6: Final answer
    x = 105,324.67

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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.