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Finding the Fourth Proportional to 280,189.44, 386,653.74 and 152,865

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Solution

The fourth proportional to 280,189.44, 386,653.74 and 152,865 is: 210,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,189.44 : 386,653.74 = 152,865 : x
  2. Step 2: Convert to fraction form
    280,189.44/386,653.74 = 152,865/x
  3. Step 3: Cross multiply
    280,189.44x = 386,653.74 × 152,865
  4. Step 4: Simplify right side
    280,189.44x = 59,105,823,965.10
  5. Step 5: Solve for x
    x = 59,105,823,965.10/280,189.44
  6. Step 6: Final answer
    x = 210,949.51

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