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Finding the Fourth Proportional to 204,295.44, 306,443.16 and 64,065

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Solution

The fourth proportional to 204,295.44, 306,443.16 and 64,065 is: 96,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,295.44 : 306,443.16 = 64,065 : x
  2. Step 2: Convert to fraction form
    204,295.44/306,443.16 = 64,065/x
  3. Step 3: Cross multiply
    204,295.44x = 306,443.16 × 64,065
  4. Step 4: Simplify right side
    204,295.44x = 19,632,281,045.40
  5. Step 5: Solve for x
    x = 19,632,281,045.40/204,295.44
  6. Step 6: Final answer
    x = 96,097.50

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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.