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Finding the Fourth Proportional to 117,719.80, 176,385.30 and 100,223.80

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Solution

The fourth proportional to 117,719.80, 176,385.30 and 100,223.80 is: 150,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,719.80 : 176,385.30 = 100,223.80 : x
  2. Step 2: Convert to fraction form
    117,719.80/176,385.30 = 100,223.80/x
  3. Step 3: Cross multiply
    117,719.80x = 176,385.30 × 100,223.80
  4. Step 4: Simplify right side
    117,719.80x = 17,678,005,030.14
  5. Step 5: Solve for x
    x = 17,678,005,030.14/117,719.80
  6. Step 6: Final answer
    x = 150,170.19

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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.