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Finding the Fourth Proportional to 268,047.51, 401,066.31 and 159,580.14

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Solution

The fourth proportional to 268,047.51, 401,066.31 and 159,580.14 is: 238,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,047.51 : 401,066.31 = 159,580.14 : x
  2. Step 2: Convert to fraction form
    268,047.51/401,066.31 = 159,580.14/x
  3. Step 3: Cross multiply
    268,047.51x = 401,066.31 × 159,580.14
  4. Step 4: Simplify right side
    268,047.51x = 64,002,217,899.08
  5. Step 5: Solve for x
    x = 64,002,217,899.08/268,047.51
  6. Step 6: Final answer
    x = 238,771.92

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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.