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Finding the Fourth Proportional to 272,161.94, 408,248.51 and 99,047.74

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Solution

The fourth proportional to 272,161.94, 408,248.51 and 99,047.74 is: 148,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,161.94 : 408,248.51 = 99,047.74 : x
  2. Step 2: Convert to fraction form
    272,161.94/408,248.51 = 99,047.74/x
  3. Step 3: Cross multiply
    272,161.94x = 408,248.51 × 99,047.74
  4. Step 4: Simplify right side
    272,161.94x = 40,436,093,294.49
  5. Step 5: Solve for x
    x = 40,436,093,294.49/272,161.94
  6. Step 6: Final answer
    x = 148,573.65

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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.