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Finding the Fourth Proportional to 309,101.66, 463,518.82 and 106,719.11

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Solution

The fourth proportional to 309,101.66, 463,518.82 and 106,719.11 is: 160,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,101.66 : 463,518.82 = 106,719.11 : x
  2. Step 2: Convert to fraction form
    309,101.66/463,518.82 = 106,719.11/x
  3. Step 3: Cross multiply
    309,101.66x = 463,518.82 × 106,719.11
  4. Step 4: Simplify right side
    309,101.66x = 49,466,313,087.46
  5. Step 5: Solve for x
    x = 49,466,313,087.46/309,101.66
  6. Step 6: Final answer
    x = 160,032.51

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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.