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Finding the Fourth Proportional to 273,199.04, 409,871.52 and 86,214.08

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Solution

The fourth proportional to 273,199.04, 409,871.52 and 86,214.08 is: 129,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,199.04 : 409,871.52 = 86,214.08 : x
  2. Step 2: Convert to fraction form
    273,199.04/409,871.52 = 86,214.08/x
  3. Step 3: Cross multiply
    273,199.04x = 409,871.52 × 86,214.08
  4. Step 4: Simplify right side
    273,199.04x = 35,336,696,015.00
  5. Step 5: Solve for x
    x = 35,336,696,015.00/273,199.04
  6. Step 6: Final answer
    x = 129,344.14

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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.