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Finding the Fourth Proportional to 104,314.49, 143,934.75 and 61,301

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Solution

The fourth proportional to 104,314.49, 143,934.75 and 61,301 is: 84,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,314.49 : 143,934.75 = 61,301 : x
  2. Step 2: Convert to fraction form
    104,314.49/143,934.75 = 61,301/x
  3. Step 3: Cross multiply
    104,314.49x = 143,934.75 × 61,301
  4. Step 4: Simplify right side
    104,314.49x = 8,823,344,109.75
  5. Step 5: Solve for x
    x = 8,823,344,109.75/104,314.49
  6. Step 6: Final answer
    x = 84,584.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.