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Finding the Fourth Proportional to 273,988.38, 411,015.78 and 96,459.06

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Solution

The fourth proportional to 273,988.38, 411,015.78 and 96,459.06 is: 144,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,988.38 : 411,015.78 = 96,459.06 : x
  2. Step 2: Convert to fraction form
    273,988.38/411,015.78 = 96,459.06/x
  3. Step 3: Cross multiply
    273,988.38x = 411,015.78 × 96,459.06
  4. Step 4: Simplify right side
    273,988.38x = 39,646,195,783.97
  5. Step 5: Solve for x
    x = 39,646,195,783.97/273,988.38
  6. Step 6: Final answer
    x = 144,700.28

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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.