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Finding the Fourth Proportional to 107,294.90, 160,942.34 and 28,415.27

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Solution

The fourth proportional to 107,294.90, 160,942.34 and 28,415.27 is: 42,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294.90 : 160,942.34 = 28,415.27 : x
  2. Step 2: Convert to fraction form
    107,294.90/160,942.34 = 28,415.27/x
  3. Step 3: Cross multiply
    107,294.90x = 160,942.34 × 28,415.27
  4. Step 4: Simplify right side
    107,294.90x = 4,573,220,518.93
  5. Step 5: Solve for x
    x = 4,573,220,518.93/107,294.90
  6. Step 6: Final answer
    x = 42,622.91

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Why These Related Problems?

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