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Finding the Fourth Proportional to 147,580.71, 221,399.51 and 47,765.67

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Solution

The fourth proportional to 147,580.71, 221,399.51 and 47,765.67 is: 71,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,580.71 : 221,399.51 = 47,765.67 : x
  2. Step 2: Convert to fraction form
    147,580.71/221,399.51 = 47,765.67/x
  3. Step 3: Cross multiply
    147,580.71x = 221,399.51 × 47,765.67
  4. Step 4: Simplify right side
    147,580.71x = 10,575,295,693.99
  5. Step 5: Solve for x
    x = 10,575,295,693.99/147,580.71
  6. Step 6: Final answer
    x = 71,657.71

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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.