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Finding the Fourth Proportional to 133,653, 184,441.14 and 74,037

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Solution

The fourth proportional to 133,653, 184,441.14 and 74,037 is: 102,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,653 : 184,441.14 = 74,037 : x
  2. Step 2: Convert to fraction form
    133,653/184,441.14 = 74,037/x
  3. Step 3: Cross multiply
    133,653x = 184,441.14 × 74,037
  4. Step 4: Simplify right side
    133,653x = 13,655,468,682.18
  5. Step 5: Solve for x
    x = 13,655,468,682.18/133,653
  6. Step 6: Final answer
    x = 102,171.06

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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.