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Finding the Fourth Proportional to 214,038.84, 295,375.77 and 129,139.50

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Solution

The fourth proportional to 214,038.84, 295,375.77 and 129,139.50 is: 178,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,038.84 : 295,375.77 = 129,139.50 : x
  2. Step 2: Convert to fraction form
    214,038.84/295,375.77 = 129,139.50/x
  3. Step 3: Cross multiply
    214,038.84x = 295,375.77 × 129,139.50
  4. Step 4: Simplify right side
    214,038.84x = 38,144,679,249.92
  5. Step 5: Solve for x
    x = 38,144,679,249.92/214,038.84
  6. Step 6: Final answer
    x = 178,213.82

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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.