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Finding the Fourth Proportional to 205,151.48, 307,696.43 and 64,891.88

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Solution

The fourth proportional to 205,151.48, 307,696.43 and 64,891.88 is: 97,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,151.48 : 307,696.43 = 64,891.88 : x
  2. Step 2: Convert to fraction form
    205,151.48/307,696.43 = 64,891.88/x
  3. Step 3: Cross multiply
    205,151.48x = 307,696.43 × 64,891.88
  4. Step 4: Simplify right side
    205,151.48x = 19,966,998,435.74
  5. Step 5: Solve for x
    x = 19,966,998,435.74/205,151.48
  6. Step 6: Final answer
    x = 97,328.08

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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.