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Finding the Fourth Proportional to 223,924.73, 308,993.28 and 137,870.06

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Solution

The fourth proportional to 223,924.73, 308,993.28 and 137,870.06 is: 190,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,924.73 : 308,993.28 = 137,870.06 : x
  2. Step 2: Convert to fraction form
    223,924.73/308,993.28 = 137,870.06/x
  3. Step 3: Cross multiply
    223,924.73x = 308,993.28 × 137,870.06
  4. Step 4: Simplify right side
    223,924.73x = 42,600,922,053.20
  5. Step 5: Solve for x
    x = 42,600,922,053.20/223,924.73
  6. Step 6: Final answer
    x = 190,246.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.