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Finding the Fourth Proportional to 311,358.95, 466,675.49 and 142,897.07

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Solution

The fourth proportional to 311,358.95, 466,675.49 and 142,897.07 is: 214,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,358.95 : 466,675.49 = 142,897.07 : x
  2. Step 2: Convert to fraction form
    311,358.95/466,675.49 = 142,897.07/x
  3. Step 3: Cross multiply
    311,358.95x = 466,675.49 × 142,897.07
  4. Step 4: Simplify right side
    311,358.95x = 66,686,560,161.81
  5. Step 5: Solve for x
    x = 66,686,560,161.81/311,358.95
  6. Step 6: Final answer
    x = 214,179.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.