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Finding the Fourth Proportional to 302,123.72, 452,874.54 and 161,844.68

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Solution

The fourth proportional to 302,123.72, 452,874.54 and 161,844.68 is: 242,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,123.72 : 452,874.54 = 161,844.68 : x
  2. Step 2: Convert to fraction form
    302,123.72/452,874.54 = 161,844.68/x
  3. Step 3: Cross multiply
    302,123.72x = 452,874.54 × 161,844.68
  4. Step 4: Simplify right side
    302,123.72x = 73,295,335,006.45
  5. Step 5: Solve for x
    x = 73,295,335,006.45/302,123.72
  6. Step 6: Final answer
    x = 242,600.40

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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.