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Finding the Fourth Proportional to 164,740.74, 227,345.85 and 101,040.90

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Solution

The fourth proportional to 164,740.74, 227,345.85 and 101,040.90 is: 139,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,740.74 : 227,345.85 = 101,040.90 : x
  2. Step 2: Convert to fraction form
    164,740.74/227,345.85 = 101,040.90/x
  3. Step 3: Cross multiply
    164,740.74x = 227,345.85 × 101,040.90
  4. Step 4: Simplify right side
    164,740.74x = 22,971,229,295.27
  5. Step 5: Solve for x
    x = 22,971,229,295.27/164,740.74
  6. Step 6: Final answer
    x = 139,438.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.