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Finding the Fourth Proportional to 276,808, 415,241.16 and 127,022.80

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Solution

The fourth proportional to 276,808, 415,241.16 and 127,022.80 is: 190,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,808 : 415,241.16 = 127,022.80 : x
  2. Step 2: Convert to fraction form
    276,808/415,241.16 = 127,022.80/x
  3. Step 3: Cross multiply
    276,808x = 415,241.16 × 127,022.80
  4. Step 4: Simplify right side
    276,808x = 52,745,094,818.45
  5. Step 5: Solve for x
    x = 52,745,094,818.45/276,808
  6. Step 6: Final answer
    x = 190,547.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.