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Finding the Fourth Proportional to 205,422.30, 308,133.45 and 163,950.30

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Solution

The fourth proportional to 205,422.30, 308,133.45 and 163,950.30 is: 245,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422.30 : 308,133.45 = 163,950.30 : x
  2. Step 2: Convert to fraction form
    205,422.30/308,133.45 = 163,950.30/x
  3. Step 3: Cross multiply
    205,422.30x = 308,133.45 × 163,950.30
  4. Step 4: Simplify right side
    205,422.30x = 50,518,571,567.54
  5. Step 5: Solve for x
    x = 50,518,571,567.54/205,422.30
  6. Step 6: Final answer
    x = 245,925.45

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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.