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Finding the Fourth Proportional to 205,076.66, 307,613.06 and 64,835.30

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Solution

The fourth proportional to 205,076.66, 307,613.06 and 64,835.30 is: 97,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,076.66 : 307,613.06 = 64,835.30 : x
  2. Step 2: Convert to fraction form
    205,076.66/307,613.06 = 64,835.30/x
  3. Step 3: Cross multiply
    205,076.66x = 307,613.06 × 64,835.30
  4. Step 4: Simplify right side
    205,076.66x = 19,944,185,029.02
  5. Step 5: Solve for x
    x = 19,944,185,029.02/205,076.66
  6. Step 6: Final answer
    x = 97,252.34

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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.