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Finding the Fourth Proportional to 175,066.40, 262,016.40 and 154,071.20

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Solution

The fourth proportional to 175,066.40, 262,016.40 and 154,071.20 is: 230,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,066.40 : 262,016.40 = 154,071.20 : x
  2. Step 2: Convert to fraction form
    175,066.40/262,016.40 = 154,071.20/x
  3. Step 3: Cross multiply
    175,066.40x = 262,016.40 × 154,071.20
  4. Step 4: Simplify right side
    175,066.40x = 40,369,181,167.68
  5. Step 5: Solve for x
    x = 40,369,181,167.68/175,066.40
  6. Step 6: Final answer
    x = 230,593.54

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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.