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Finding the Fourth Proportional to 153,874.68, 212,351.40 and 85,890.24

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Solution

The fourth proportional to 153,874.68, 212,351.40 and 85,890.24 is: 118,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,874.68 : 212,351.40 = 85,890.24 : x
  2. Step 2: Convert to fraction form
    153,874.68/212,351.40 = 85,890.24/x
  3. Step 3: Cross multiply
    153,874.68x = 212,351.40 × 85,890.24
  4. Step 4: Simplify right side
    153,874.68x = 18,238,912,710.34
  5. Step 5: Solve for x
    x = 18,238,912,710.34/153,874.68
  6. Step 6: Final answer
    x = 118,530.95

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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.