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Finding the Fourth Proportional to 105,624, 145,761.12 and 60,912

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Solution

The fourth proportional to 105,624, 145,761.12 and 60,912 is: 84,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,624 : 145,761.12 = 60,912 : x
  2. Step 2: Convert to fraction form
    105,624/145,761.12 = 60,912/x
  3. Step 3: Cross multiply
    105,624x = 145,761.12 × 60,912
  4. Step 4: Simplify right side
    105,624x = 8,878,601,341.44
  5. Step 5: Solve for x
    x = 8,878,601,341.44/105,624
  6. Step 6: Final answer
    x = 84,058.56

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