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Finding the Fourth Proportional to 204,529.20, 306,804.20 and 64,289.20

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Solution

The fourth proportional to 204,529.20, 306,804.20 and 64,289.20 is: 96,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,529.20 : 306,804.20 = 64,289.20 : x
  2. Step 2: Convert to fraction form
    204,529.20/306,804.20 = 64,289.20/x
  3. Step 3: Cross multiply
    204,529.20x = 306,804.20 × 64,289.20
  4. Step 4: Simplify right side
    204,529.20x = 19,724,196,574.64
  5. Step 5: Solve for x
    x = 19,724,196,574.64/204,529.20
  6. Step 6: Final answer
    x = 96,437.07

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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.