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Finding the Fourth Proportional to 273,302.82, 409,966.74 and 83,749.50

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Solution

The fourth proportional to 273,302.82, 409,966.74 and 83,749.50 is: 125,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,302.82 : 409,966.74 = 83,749.50 : x
  2. Step 2: Convert to fraction form
    273,302.82/409,966.74 = 83,749.50/x
  3. Step 3: Cross multiply
    273,302.82x = 409,966.74 × 83,749.50
  4. Step 4: Simplify right side
    273,302.82x = 34,334,509,491.63
  5. Step 5: Solve for x
    x = 34,334,509,491.63/273,302.82
  6. Step 6: Final answer
    x = 125,628.08

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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.