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Finding the Fourth Proportional to 107,143.83, 160,702.79 and 28,264.01

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Solution

The fourth proportional to 107,143.83, 160,702.79 and 28,264.01 is: 42,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,143.83 : 160,702.79 = 28,264.01 : x
  2. Step 2: Convert to fraction form
    107,143.83/160,702.79 = 28,264.01/x
  3. Step 3: Cross multiply
    107,143.83x = 160,702.79 × 28,264.01
  4. Step 4: Simplify right side
    107,143.83x = 4,542,104,318.75
  5. Step 5: Solve for x
    x = 4,542,104,318.75/107,143.83
  6. Step 6: Final answer
    x = 42,392.59

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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.