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Finding the Fourth Proportional to 273,234.34, 377,065.80 and 150,731.40

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Solution

The fourth proportional to 273,234.34, 377,065.80 and 150,731.40 is: 208,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,234.34 : 377,065.80 = 150,731.40 : x
  2. Step 2: Convert to fraction form
    273,234.34/377,065.80 = 150,731.40/x
  3. Step 3: Cross multiply
    273,234.34x = 377,065.80 × 150,731.40
  4. Step 4: Simplify right side
    273,234.34x = 56,835,655,926.12
  5. Step 5: Solve for x
    x = 56,835,655,926.12/273,234.34
  6. Step 6: Final answer
    x = 208,010.66

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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.