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Finding the Fourth Proportional to 177,101.66, 265,715.93 and 75,857.24

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Solution

The fourth proportional to 177,101.66, 265,715.93 and 75,857.24 is: 113,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,101.66 : 265,715.93 = 75,857.24 : x
  2. Step 2: Convert to fraction form
    177,101.66/265,715.93 = 75,857.24/x
  3. Step 3: Cross multiply
    177,101.66x = 265,715.93 × 75,857.24
  4. Step 4: Simplify right side
    177,101.66x = 20,156,477,927.77
  5. Step 5: Solve for x
    x = 20,156,477,927.77/177,101.66
  6. Step 6: Final answer
    x = 113,813.04

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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.