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Finding the Fourth Proportional to 105,761, 145,947.51 and 60,436.10

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Solution

The fourth proportional to 105,761, 145,947.51 and 60,436.10 is: 83,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,761 : 145,947.51 = 60,436.10 : x
  2. Step 2: Convert to fraction form
    105,761/145,947.51 = 60,436.10/x
  3. Step 3: Cross multiply
    105,761x = 145,947.51 × 60,436.10
  4. Step 4: Simplify right side
    105,761x = 8,820,498,309.11
  5. Step 5: Solve for x
    x = 8,820,498,309.11/105,761
  6. Step 6: Final answer
    x = 83,400.29

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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.