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Finding the Fourth Proportional to 200,913.02, 301,369.52 and 156,572.94

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Solution

The fourth proportional to 200,913.02, 301,369.52 and 156,572.94 is: 234,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,913.02 : 301,369.52 = 156,572.94 : x
  2. Step 2: Convert to fraction form
    200,913.02/301,369.52 = 156,572.94/x
  3. Step 3: Cross multiply
    200,913.02x = 301,369.52 × 156,572.94
  4. Step 4: Simplify right side
    200,913.02x = 47,186,311,772.79
  5. Step 5: Solve for x
    x = 47,186,311,772.79/200,913.02
  6. Step 6: Final answer
    x = 234,859.41

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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.