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Finding the Fourth Proportional to 105,869, 146,112.18 and 61,157

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Solution

The fourth proportional to 105,869, 146,112.18 and 61,157 is: 84,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,869 : 146,112.18 = 61,157 : x
  2. Step 2: Convert to fraction form
    105,869/146,112.18 = 61,157/x
  3. Step 3: Cross multiply
    105,869x = 146,112.18 × 61,157
  4. Step 4: Simplify right side
    105,869x = 8,935,782,592.26
  5. Step 5: Solve for x
    x = 8,935,782,592.26/105,869
  6. Step 6: Final answer
    x = 84,404.15

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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.