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Finding the Fourth Proportional to 157,048.68, 216,797.94 and 103,361.88

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Solution

The fourth proportional to 157,048.68, 216,797.94 and 103,361.88 is: 142,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,048.68 : 216,797.94 = 103,361.88 : x
  2. Step 2: Convert to fraction form
    157,048.68/216,797.94 = 103,361.88/x
  3. Step 3: Cross multiply
    157,048.68x = 216,797.94 × 103,361.88
  4. Step 4: Simplify right side
    157,048.68x = 22,408,642,658.53
  5. Step 5: Solve for x
    x = 22,408,642,658.53/157,048.68
  6. Step 6: Final answer
    x = 142,685.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.