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Finding the Fourth Proportional to 106,123.66, 159,130.71 and 31,234.10

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Solution

The fourth proportional to 106,123.66, 159,130.71 and 31,234.10 is: 46,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,123.66 : 159,130.71 = 31,234.10 : x
  2. Step 2: Convert to fraction form
    106,123.66/159,130.71 = 31,234.10/x
  3. Step 3: Cross multiply
    106,123.66x = 159,130.71 × 31,234.10
  4. Step 4: Simplify right side
    106,123.66x = 4,970,304,509.21
  5. Step 5: Solve for x
    x = 4,970,304,509.21/106,123.66
  6. Step 6: Final answer
    x = 46,835.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.