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Finding the Fourth Proportional to 133,465.76, 184,175.64 and 73,024.64

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Solution

The fourth proportional to 133,465.76, 184,175.64 and 73,024.64 is: 100,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,465.76 : 184,175.64 = 73,024.64 : x
  2. Step 2: Convert to fraction form
    133,465.76/184,175.64 = 73,024.64/x
  3. Step 3: Cross multiply
    133,465.76x = 184,175.64 × 73,024.64
  4. Step 4: Simplify right side
    133,465.76x = 13,449,359,807.77
  5. Step 5: Solve for x
    x = 13,449,359,807.77/133,465.76
  6. Step 6: Final answer
    x = 100,770.11

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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.