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Finding the Fourth Proportional to 105,867, 146,109.42 and 61,155

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Solution

The fourth proportional to 105,867, 146,109.42 and 61,155 is: 84,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,867 : 146,109.42 = 61,155 : x
  2. Step 2: Convert to fraction form
    105,867/146,109.42 = 61,155/x
  3. Step 3: Cross multiply
    105,867x = 146,109.42 × 61,155
  4. Step 4: Simplify right side
    105,867x = 8,935,321,580.10
  5. Step 5: Solve for x
    x = 8,935,321,580.10/105,867
  6. Step 6: Final answer
    x = 84,401.39

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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.