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Finding the Fourth Proportional to 271,864.53, 407,572.28 and 119,953.46

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Solution

The fourth proportional to 271,864.53, 407,572.28 and 119,953.46 is: 179,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,864.53 : 407,572.28 = 119,953.46 : x
  2. Step 2: Convert to fraction form
    271,864.53/407,572.28 = 119,953.46/x
  3. Step 3: Cross multiply
    271,864.53x = 407,572.28 × 119,953.46
  4. Step 4: Simplify right side
    271,864.53x = 48,889,704,099.85
  5. Step 5: Solve for x
    x = 48,889,704,099.85/271,864.53
  6. Step 6: Final answer
    x = 179,831.13

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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.