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Finding the Fourth Proportional to 181,047.80, 271,830.90 and 102,315.80

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Solution

The fourth proportional to 181,047.80, 271,830.90 and 102,315.80 is: 153,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,047.80 : 271,830.90 = 102,315.80 : x
  2. Step 2: Convert to fraction form
    181,047.80/271,830.90 = 102,315.80/x
  3. Step 3: Cross multiply
    181,047.80x = 271,830.90 × 102,315.80
  4. Step 4: Simplify right side
    181,047.80x = 27,812,595,998.22
  5. Step 5: Solve for x
    x = 27,812,595,998.22/181,047.80
  6. Step 6: Final answer
    x = 153,620.18

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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.