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Finding the Fourth Proportional to 204,897.80, 307,346.70 and 57,153.80

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Solution

The fourth proportional to 204,897.80, 307,346.70 and 57,153.80 is: 85,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,897.80 : 307,346.70 = 57,153.80 : x
  2. Step 2: Convert to fraction form
    204,897.80/307,346.70 = 57,153.80/x
  3. Step 3: Cross multiply
    204,897.80x = 307,346.70 × 57,153.80
  4. Step 4: Simplify right side
    204,897.80x = 17,566,031,822.46
  5. Step 5: Solve for x
    x = 17,566,031,822.46/204,897.80
  6. Step 6: Final answer
    x = 85,730.70

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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.