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Finding the Fourth Proportional to 105,414.66, 157,868.58 and 60,299.22

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Solution

The fourth proportional to 105,414.66, 157,868.58 and 60,299.22 is: 90,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,414.66 : 157,868.58 = 60,299.22 : x
  2. Step 2: Convert to fraction form
    105,414.66/157,868.58 = 60,299.22/x
  3. Step 3: Cross multiply
    105,414.66x = 157,868.58 × 60,299.22
  4. Step 4: Simplify right side
    105,414.66x = 9,519,352,236.51
  5. Step 5: Solve for x
    x = 9,519,352,236.51/105,414.66
  6. Step 6: Final answer
    x = 90,303.87

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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.