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Finding the Fourth Proportional to 106,298.82, 146,753.37 and 70,537.32

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Solution

The fourth proportional to 106,298.82, 146,753.37 and 70,537.32 is: 97,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,298.82 : 146,753.37 = 70,537.32 : x
  2. Step 2: Convert to fraction form
    106,298.82/146,753.37 = 70,537.32/x
  3. Step 3: Cross multiply
    106,298.82x = 146,753.37 × 70,537.32
  4. Step 4: Simplify right side
    106,298.82x = 10,351,589,420.77
  5. Step 5: Solve for x
    x = 10,351,589,420.77/106,298.82
  6. Step 6: Final answer
    x = 97,381.98

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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.