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Finding the Fourth Proportional to 261,580.82, 360,993.40 and 154,155.38

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Solution

The fourth proportional to 261,580.82, 360,993.40 and 154,155.38 is: 212,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,580.82 : 360,993.40 = 154,155.38 : x
  2. Step 2: Convert to fraction form
    261,580.82/360,993.40 = 154,155.38/x
  3. Step 3: Cross multiply
    261,580.82x = 360,993.40 × 154,155.38
  4. Step 4: Simplify right side
    261,580.82x = 55,649,074,754.49
  5. Step 5: Solve for x
    x = 55,649,074,754.49/261,580.82
  6. Step 6: Final answer
    x = 212,741.42

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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.