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Finding the Fourth Proportional to 171,824.15, 257,632.65 and 77,037.20

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Solution

The fourth proportional to 171,824.15, 257,632.65 and 77,037.20 is: 115,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,824.15 : 257,632.65 = 77,037.20 : x
  2. Step 2: Convert to fraction form
    171,824.15/257,632.65 = 77,037.20/x
  3. Step 3: Cross multiply
    171,824.15x = 257,632.65 × 77,037.20
  4. Step 4: Simplify right side
    171,824.15x = 19,847,296,696.42
  5. Step 5: Solve for x
    x = 19,847,296,696.42/171,824.15
  6. Step 6: Final answer
    x = 115,509.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.