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Finding the Fourth Proportional to 106,114.88, 146,459.33 and 60,823.22

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Solution

The fourth proportional to 106,114.88, 146,459.33 and 60,823.22 is: 83,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.88 : 146,459.33 = 60,823.22 : x
  2. Step 2: Convert to fraction form
    106,114.88/146,459.33 = 60,823.22/x
  3. Step 3: Cross multiply
    106,114.88x = 146,459.33 × 60,823.22
  4. Step 4: Simplify right side
    106,114.88x = 8,908,127,013.23
  5. Step 5: Solve for x
    x = 8,908,127,013.23/106,114.88
  6. Step 6: Final answer
    x = 83,947.96

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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.