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Finding the Fourth Proportional to 377,117.96, 565,540.86 and 110,807.24

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Solution

The fourth proportional to 377,117.96, 565,540.86 and 110,807.24 is: 166,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,117.96 : 565,540.86 = 110,807.24 : x
  2. Step 2: Convert to fraction form
    377,117.96/565,540.86 = 110,807.24/x
  3. Step 3: Cross multiply
    377,117.96x = 565,540.86 × 110,807.24
  4. Step 4: Simplify right side
    377,117.96x = 62,666,021,803.83
  5. Step 5: Solve for x
    x = 62,666,021,803.83/377,117.96
  6. Step 6: Final answer
    x = 166,170.88

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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.