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Finding the Fourth Proportional to 171,811.80, 257,717.70 and 77,041.80

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Solution

The fourth proportional to 171,811.80, 257,717.70 and 77,041.80 is: 115,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,811.80 : 257,717.70 = 77,041.80 : x
  2. Step 2: Convert to fraction form
    171,811.80/257,717.70 = 77,041.80/x
  3. Step 3: Cross multiply
    171,811.80x = 257,717.70 × 77,041.80
  4. Step 4: Simplify right side
    171,811.80x = 19,855,035,499.86
  5. Step 5: Solve for x
    x = 19,855,035,499.86/171,811.80
  6. Step 6: Final answer
    x = 115,562.70

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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.