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Finding the Fourth Proportional to 261,091.56, 360,305.10 and 147,914.04

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Solution

The fourth proportional to 261,091.56, 360,305.10 and 147,914.04 is: 204,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,091.56 : 360,305.10 = 147,914.04 : x
  2. Step 2: Convert to fraction form
    261,091.56/360,305.10 = 147,914.04/x
  3. Step 3: Cross multiply
    261,091.56x = 360,305.10 × 147,914.04
  4. Step 4: Simplify right side
    261,091.56x = 53,294,182,973.60
  5. Step 5: Solve for x
    x = 53,294,182,973.60/261,091.56
  6. Step 6: Final answer
    x = 204,120.67

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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.