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Finding the Fourth Proportional to 307,139.71, 460,775.18 and 107,466.61

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Solution

The fourth proportional to 307,139.71, 460,775.18 and 107,466.61 is: 161,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,139.71 : 460,775.18 = 107,466.61 : x
  2. Step 2: Convert to fraction form
    307,139.71/460,775.18 = 107,466.61/x
  3. Step 3: Cross multiply
    307,139.71x = 460,775.18 × 107,466.61
  4. Step 4: Simplify right side
    307,139.71x = 49,517,946,566.74
  5. Step 5: Solve for x
    x = 49,517,946,566.74/307,139.71
  6. Step 6: Final answer
    x = 161,222.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.