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Finding the Fourth Proportional to 183,102.72, 274,432.26 and 77,700.30

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Solution

The fourth proportional to 183,102.72, 274,432.26 and 77,700.30 is: 116,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,102.72 : 274,432.26 = 77,700.30 : x
  2. Step 2: Convert to fraction form
    183,102.72/274,432.26 = 77,700.30/x
  3. Step 3: Cross multiply
    183,102.72x = 274,432.26 × 77,700.30
  4. Step 4: Simplify right side
    183,102.72x = 21,323,468,931.68
  5. Step 5: Solve for x
    x = 21,323,468,931.68/183,102.72
  6. Step 6: Final answer
    x = 116,456.32

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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.