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Finding the Fourth Proportional to 273,697.12, 377,680.48 and 152,828.96

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Solution

The fourth proportional to 273,697.12, 377,680.48 and 152,828.96 is: 210,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,697.12 : 377,680.48 = 152,828.96 : x
  2. Step 2: Convert to fraction form
    273,697.12/377,680.48 = 152,828.96/x
  3. Step 3: Cross multiply
    273,697.12x = 377,680.48 × 152,828.96
  4. Step 4: Simplify right side
    273,697.12x = 57,720,514,970.70
  5. Step 5: Solve for x
    x = 57,720,514,970.70/273,697.12
  6. Step 6: Final answer
    x = 210,891.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.