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Finding the Fourth Proportional to 214,205.68, 295,596.84 and 129,307.96

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Solution

The fourth proportional to 214,205.68, 295,596.84 and 129,307.96 is: 178,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,205.68 : 295,596.84 = 129,307.96 : x
  2. Step 2: Convert to fraction form
    214,205.68/295,596.84 = 129,307.96/x
  3. Step 3: Cross multiply
    214,205.68x = 295,596.84 × 129,307.96
  4. Step 4: Simplify right side
    214,205.68x = 38,223,024,362.85
  5. Step 5: Solve for x
    x = 38,223,024,362.85/214,205.68
  6. Step 6: Final answer
    x = 178,440.76

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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.