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Finding the Fourth Proportional to 105,770.25, 145,967.27 and 61,058.25

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Solution

The fourth proportional to 105,770.25, 145,967.27 and 61,058.25 is: 84,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,770.25 : 145,967.27 = 61,058.25 : x
  2. Step 2: Convert to fraction form
    105,770.25/145,967.27 = 61,058.25/x
  3. Step 3: Cross multiply
    105,770.25x = 145,967.27 × 61,058.25
  4. Step 4: Simplify right side
    105,770.25x = 8,912,505,758.19
  5. Step 5: Solve for x
    x = 8,912,505,758.19/105,770.25
  6. Step 6: Final answer
    x = 84,262.88

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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.