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Finding the Fourth Proportional to 205,152.60, 307,757.70 and 64,896.60

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Solution

The fourth proportional to 205,152.60, 307,757.70 and 64,896.60 is: 97,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152.60 : 307,757.70 = 64,896.60 : x
  2. Step 2: Convert to fraction form
    205,152.60/307,757.70 = 64,896.60/x
  3. Step 3: Cross multiply
    205,152.60x = 307,757.70 × 64,896.60
  4. Step 4: Simplify right side
    205,152.60x = 19,972,428,353.82
  5. Step 5: Solve for x
    x = 19,972,428,353.82/205,152.60
  6. Step 6: Final answer
    x = 97,354.01

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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.