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Finding the Fourth Proportional to 133,752.69, 184,597.56 and 82,781.76

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Solution

The fourth proportional to 133,752.69, 184,597.56 and 82,781.76 is: 114,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,752.69 : 184,597.56 = 82,781.76 : x
  2. Step 2: Convert to fraction form
    133,752.69/184,597.56 = 82,781.76/x
  3. Step 3: Cross multiply
    133,752.69x = 184,597.56 × 82,781.76
  4. Step 4: Simplify right side
    133,752.69x = 15,281,310,908.51
  5. Step 5: Solve for x
    x = 15,281,310,908.51/133,752.69
  6. Step 6: Final answer
    x = 114,250.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.