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Finding the Fourth Proportional to 106,098.66, 146,417.37 and 58,352.81

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Solution

The fourth proportional to 106,098.66, 146,417.37 and 58,352.81 is: 80,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,098.66 : 146,417.37 = 58,352.81 : x
  2. Step 2: Convert to fraction form
    106,098.66/146,417.37 = 58,352.81/x
  3. Step 3: Cross multiply
    106,098.66x = 146,417.37 × 58,352.81
  4. Step 4: Simplify right side
    106,098.66x = 8,543,864,349.63
  5. Step 5: Solve for x
    x = 8,543,864,349.63/106,098.66
  6. Step 6: Final answer
    x = 80,527.54

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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.