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Finding the Fourth Proportional to 261,660.44, 360,996.92 and 148,417.58

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Solution

The fourth proportional to 261,660.44, 360,996.92 and 148,417.58 is: 204,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,660.44 : 360,996.92 = 148,417.58 : x
  2. Step 2: Convert to fraction form
    261,660.44/360,996.92 = 148,417.58/x
  3. Step 3: Cross multiply
    261,660.44x = 360,996.92 × 148,417.58
  4. Step 4: Simplify right side
    261,660.44x = 53,578,289,253.85
  5. Step 5: Solve for x
    x = 53,578,289,253.85/261,660.44
  6. Step 6: Final answer
    x = 204,762.67

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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.