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Finding the Fourth Proportional to 214,037.84, 295,374.39 and 129,138.50

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Solution

The fourth proportional to 214,037.84, 295,374.39 and 129,138.50 is: 178,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,037.84 : 295,374.39 = 129,138.50 : x
  2. Step 2: Convert to fraction form
    214,037.84/295,374.39 = 129,138.50/x
  3. Step 3: Cross multiply
    214,037.84x = 295,374.39 × 129,138.50
  4. Step 4: Simplify right side
    214,037.84x = 38,144,205,663.02
  5. Step 5: Solve for x
    x = 38,144,205,663.02/214,037.84
  6. Step 6: Final answer
    x = 178,212.44

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