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Finding the Fourth Proportional to 205,637.70, 308,456.55 and 163,647.30

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Solution

The fourth proportional to 205,637.70, 308,456.55 and 163,647.30 is: 245,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,637.70 : 308,456.55 = 163,647.30 : x
  2. Step 2: Convert to fraction form
    205,637.70/308,456.55 = 163,647.30/x
  3. Step 3: Cross multiply
    205,637.70x = 308,456.55 × 163,647.30
  4. Step 4: Simplify right side
    205,637.70x = 50,478,081,574.82
  5. Step 5: Solve for x
    x = 50,478,081,574.82/205,637.70
  6. Step 6: Final answer
    x = 245,470.95

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1.5x scale

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.