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Finding the Fourth Proportional to 214,045.19, 295,384.54 and 129,145.85

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Solution

The fourth proportional to 214,045.19, 295,384.54 and 129,145.85 is: 178,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,045.19 : 295,384.54 = 129,145.85 : x
  2. Step 2: Convert to fraction form
    214,045.19/295,384.54 = 129,145.85/x
  3. Step 3: Cross multiply
    214,045.19x = 295,384.54 × 129,145.85
  4. Step 4: Simplify right side
    214,045.19x = 38,147,687,331.15
  5. Step 5: Solve for x
    x = 38,147,687,331.15/214,045.19
  6. Step 6: Final answer
    x = 178,222.58

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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.