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Finding the Fourth Proportional to 102,238.67, 153,339.51 and 31,144.30

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Solution

The fourth proportional to 102,238.67, 153,339.51 and 31,144.30 is: 46,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,238.67 : 153,339.51 = 31,144.30 : x
  2. Step 2: Convert to fraction form
    102,238.67/153,339.51 = 31,144.30/x
  3. Step 3: Cross multiply
    102,238.67x = 153,339.51 × 31,144.30
  4. Step 4: Simplify right side
    102,238.67x = 4,775,651,434.74
  5. Step 5: Solve for x
    x = 4,775,651,434.74/102,238.67
  6. Step 6: Final answer
    x = 46,710.81

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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.