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Finding the Fourth Proportional to 109,394, 150,963.80 and 59,093

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Solution

The fourth proportional to 109,394, 150,963.80 and 59,093 is: 81,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,394 : 150,963.80 = 59,093 : x
  2. Step 2: Convert to fraction form
    109,394/150,963.80 = 59,093/x
  3. Step 3: Cross multiply
    109,394x = 150,963.80 × 59,093
  4. Step 4: Simplify right side
    109,394x = 8,920,903,833.40
  5. Step 5: Solve for x
    x = 8,920,903,833.40/109,394
  6. Step 6: Final answer
    x = 81,548.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.