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Finding the Fourth Proportional to 106,335.34, 146,741.15 and 61,012.31

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Solution

The fourth proportional to 106,335.34, 146,741.15 and 61,012.31 is: 84,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,335.34 : 146,741.15 = 61,012.31 : x
  2. Step 2: Convert to fraction form
    106,335.34/146,741.15 = 61,012.31/x
  3. Step 3: Cross multiply
    106,335.34x = 146,741.15 × 61,012.31
  4. Step 4: Simplify right side
    106,335.34x = 8,953,015,952.38
  5. Step 5: Solve for x
    x = 8,953,015,952.38/106,335.34
  6. Step 6: Final answer
    x = 84,196.06

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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.