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Finding the Fourth Proportional to 116,082.63, 174,145.80 and 82,719.93

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Solution

The fourth proportional to 116,082.63, 174,145.80 and 82,719.93 is: 124,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,082.63 : 174,145.80 = 82,719.93 : x
  2. Step 2: Convert to fraction form
    116,082.63/174,145.80 = 82,719.93/x
  3. Step 3: Cross multiply
    116,082.63x = 174,145.80 × 82,719.93
  4. Step 4: Simplify right side
    116,082.63x = 14,405,328,385.79
  5. Step 5: Solve for x
    x = 14,405,328,385.79/116,082.63
  6. Step 6: Final answer
    x = 124,095.47

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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.