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Finding the Fourth Proportional to 103,166.65, 154,719.13 and 31,116.54

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Solution

The fourth proportional to 103,166.65, 154,719.13 and 31,116.54 is: 46,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,166.65 : 154,719.13 = 31,116.54 : x
  2. Step 2: Convert to fraction form
    103,166.65/154,719.13 = 31,116.54/x
  3. Step 3: Cross multiply
    103,166.65x = 154,719.13 × 31,116.54
  4. Step 4: Simplify right side
    103,166.65x = 4,814,323,841.83
  5. Step 5: Solve for x
    x = 4,814,323,841.83/103,166.65
  6. Step 6: Final answer
    x = 46,665.51

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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.