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Finding the Fourth Proportional to 184,970.76, 277,449.66 and 51,849.96

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Solution

The fourth proportional to 184,970.76, 277,449.66 and 51,849.96 is: 77,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,970.76 : 277,449.66 = 51,849.96 : x
  2. Step 2: Convert to fraction form
    184,970.76/277,449.66 = 51,849.96/x
  3. Step 3: Cross multiply
    184,970.76x = 277,449.66 × 51,849.96
  4. Step 4: Simplify right side
    184,970.76x = 14,385,753,773.01
  5. Step 5: Solve for x
    x = 14,385,753,773.01/184,970.76
  6. Step 6: Final answer
    x = 77,773.12

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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.