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Finding the Fourth Proportional to 231,003, 346,642.74 and 99,675

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Solution

The fourth proportional to 231,003, 346,642.74 and 99,675 is: 149,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,003 : 346,642.74 = 99,675 : x
  2. Step 2: Convert to fraction form
    231,003/346,642.74 = 99,675/x
  3. Step 3: Cross multiply
    231,003x = 346,642.74 × 99,675
  4. Step 4: Simplify right side
    231,003x = 34,551,615,109.50
  5. Step 5: Solve for x
    x = 34,551,615,109.50/231,003
  6. Step 6: Final answer
    x = 149,572.15

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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.