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Finding the Fourth Proportional to 181,102.50, 271,668.74 and 56,443.50

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Solution

The fourth proportional to 181,102.50, 271,668.74 and 56,443.50 is: 84,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,102.50 : 271,668.74 = 56,443.50 : x
  2. Step 2: Convert to fraction form
    181,102.50/271,668.74 = 56,443.50/x
  3. Step 3: Cross multiply
    181,102.50x = 271,668.74 × 56,443.50
  4. Step 4: Simplify right side
    181,102.50x = 15,333,934,243.97
  5. Step 5: Solve for x
    x = 15,333,934,243.97/181,102.50
  6. Step 6: Final answer
    x = 84,669.92

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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.