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Finding the Fourth Proportional to 90,702.12, 125,125.38 and 78,105

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Solution

The fourth proportional to 90,702.12, 125,125.38 and 78,105 is: 107,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,702.12 : 125,125.38 = 78,105 : x
  2. Step 2: Convert to fraction form
    90,702.12/125,125.38 = 78,105/x
  3. Step 3: Cross multiply
    90,702.12x = 125,125.38 × 78,105
  4. Step 4: Simplify right side
    90,702.12x = 9,772,917,804.90
  5. Step 5: Solve for x
    x = 9,772,917,804.90/90,702.12
  6. Step 6: Final answer
    x = 107,747.40

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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.