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Finding the Fourth Proportional to 102,147.74, 153,222.72 and 31,081.92

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Solution

The fourth proportional to 102,147.74, 153,222.72 and 31,081.92 is: 46,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,147.74 : 153,222.72 = 31,081.92 : x
  2. Step 2: Convert to fraction form
    102,147.74/153,222.72 = 31,081.92/x
  3. Step 3: Cross multiply
    102,147.74x = 153,222.72 × 31,081.92
  4. Step 4: Simplify right side
    102,147.74x = 4,762,456,325.22
  5. Step 5: Solve for x
    x = 4,762,456,325.22/102,147.74
  6. Step 6: Final answer
    x = 46,623.22

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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.