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Finding the Fourth Proportional to 204,783.61, 307,153.59 and 71,666.41

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Solution

The fourth proportional to 204,783.61, 307,153.59 and 71,666.41 is: 107,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,783.61 : 307,153.59 = 71,666.41 : x
  2. Step 2: Convert to fraction form
    204,783.61/307,153.59 = 71,666.41/x
  3. Step 3: Cross multiply
    204,783.61x = 307,153.59 × 71,666.41
  4. Step 4: Simplify right side
    204,783.61x = 22,012,595,113.91
  5. Step 5: Solve for x
    x = 22,012,595,113.91/204,783.61
  6. Step 6: Final answer
    x = 107,491.98

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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.