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Finding the Fourth Proportional to 103,166.90, 154,719.50 and 31,116.79

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Solution

The fourth proportional to 103,166.90, 154,719.50 and 31,116.79 is: 46,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,166.90 : 154,719.50 = 31,116.79 : x
  2. Step 2: Convert to fraction form
    103,166.90/154,719.50 = 31,116.79/x
  3. Step 3: Cross multiply
    103,166.90x = 154,719.50 × 31,116.79
  4. Step 4: Simplify right side
    103,166.90x = 4,814,373,881.40
  5. Step 5: Solve for x
    x = 4,814,373,881.40/103,166.90
  6. Step 6: Final answer
    x = 46,665.88

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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.