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Finding the Fourth Proportional to 273,258, 409,114.14 and 144,881.82

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Solution

The fourth proportional to 273,258, 409,114.14 and 144,881.82 is: 216,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,258 : 409,114.14 = 144,881.82 : x
  2. Step 2: Convert to fraction form
    273,258/409,114.14 = 144,881.82/x
  3. Step 3: Cross multiply
    273,258x = 409,114.14 × 144,881.82
  4. Step 4: Simplify right side
    273,258x = 59,273,201,190.93
  5. Step 5: Solve for x
    x = 59,273,201,190.93/273,258
  6. Step 6: Final answer
    x = 216,912.96

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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.