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Finding the Fourth Proportional to 205,152.98, 307,698.68 and 64,893.38

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Solution

The fourth proportional to 205,152.98, 307,698.68 and 64,893.38 is: 97,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152.98 : 307,698.68 = 64,893.38 : x
  2. Step 2: Convert to fraction form
    205,152.98/307,698.68 = 64,893.38/x
  3. Step 3: Cross multiply
    205,152.98x = 307,698.68 × 64,893.38
  4. Step 4: Simplify right side
    205,152.98x = 19,967,605,990.48
  5. Step 5: Solve for x
    x = 19,967,605,990.48/205,152.98
  6. Step 6: Final answer
    x = 97,330.33

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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.