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Finding the Fourth Proportional to 243,376.96, 365,066.16 and 74,896

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Solution

The fourth proportional to 243,376.96, 365,066.16 and 74,896 is: 112,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,376.96 : 365,066.16 = 74,896 : x
  2. Step 2: Convert to fraction form
    243,376.96/365,066.16 = 74,896/x
  3. Step 3: Cross multiply
    243,376.96x = 365,066.16 × 74,896
  4. Step 4: Simplify right side
    243,376.96x = 27,341,995,119.36
  5. Step 5: Solve for x
    x = 27,341,995,119.36/243,376.96
  6. Step 6: Final answer
    x = 112,344.22

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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.