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Finding the Fourth Proportional to 205,970.10, 308,955.15 and 87,645.30

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Solution

The fourth proportional to 205,970.10, 308,955.15 and 87,645.30 is: 131,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,970.10 : 308,955.15 = 87,645.30 : x
  2. Step 2: Convert to fraction form
    205,970.10/308,955.15 = 87,645.30/x
  3. Step 3: Cross multiply
    205,970.10x = 308,955.15 × 87,645.30
  4. Step 4: Simplify right side
    205,970.10x = 27,078,466,808.30
  5. Step 5: Solve for x
    x = 27,078,466,808.30/205,970.10
  6. Step 6: Final answer
    x = 131,467.95

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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.