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Finding the Fourth Proportional to 204,477.80, 306,716.70 and 115,904.30

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Solution

The fourth proportional to 204,477.80, 306,716.70 and 115,904.30 is: 173,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,477.80 : 306,716.70 = 115,904.30 : x
  2. Step 2: Convert to fraction form
    204,477.80/306,716.70 = 115,904.30/x
  3. Step 3: Cross multiply
    204,477.80x = 306,716.70 × 115,904.30
  4. Step 4: Simplify right side
    204,477.80x = 35,549,784,411.81
  5. Step 5: Solve for x
    x = 35,549,784,411.81/204,477.80
  6. Step 6: Final answer
    x = 173,856.45

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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.