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Finding the Fourth Proportional to 272,021.80, 408,032.70 and 161,429.80

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Solution

The fourth proportional to 272,021.80, 408,032.70 and 161,429.80 is: 242,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,021.80 : 408,032.70 = 161,429.80 : x
  2. Step 2: Convert to fraction form
    272,021.80/408,032.70 = 161,429.80/x
  3. Step 3: Cross multiply
    272,021.80x = 408,032.70 × 161,429.80
  4. Step 4: Simplify right side
    272,021.80x = 65,868,637,154.46
  5. Step 5: Solve for x
    x = 65,868,637,154.46/272,021.80
  6. Step 6: Final answer
    x = 242,144.70

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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.