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Finding the Fourth Proportional to 204,024.45, 285,929.48 and 204,024.45

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Solution

The fourth proportional to 204,024.45, 285,929.48 and 204,024.45 is: 285,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,024.45 : 285,929.48 = 204,024.45 : x
  2. Step 2: Convert to fraction form
    204,024.45/285,929.48 = 204,024.45/x
  3. Step 3: Cross multiply
    204,024.45x = 285,929.48 × 204,024.45
  4. Step 4: Simplify right side
    204,024.45x = 58,336,603,875.66
  5. Step 5: Solve for x
    x = 58,336,603,875.66/204,024.45
  6. Step 6: Final answer
    x = 285,929.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.