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Finding the Fourth Proportional to 205,948.48, 308,863.05 and 61,848.49

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Solution

The fourth proportional to 205,948.48, 308,863.05 and 61,848.49 is: 92,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,948.48 : 308,863.05 = 61,848.49 : x
  2. Step 2: Convert to fraction form
    205,948.48/308,863.05 = 61,848.49/x
  3. Step 3: Cross multiply
    205,948.48x = 308,863.05 × 61,848.49
  4. Step 4: Simplify right side
    205,948.48x = 19,102,713,259.29
  5. Step 5: Solve for x
    x = 19,102,713,259.29/205,948.48
  6. Step 6: Final answer
    x = 92,754.82

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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.