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Finding the Fourth Proportional to 105,027.98, 144,913.70 and 59,702.41

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Solution

The fourth proportional to 105,027.98, 144,913.70 and 59,702.41 is: 82,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.98 : 144,913.70 = 59,702.41 : x
  2. Step 2: Convert to fraction form
    105,027.98/144,913.70 = 59,702.41/x
  3. Step 3: Cross multiply
    105,027.98x = 144,913.70 × 59,702.41
  4. Step 4: Simplify right side
    105,027.98x = 8,651,696,918.99
  5. Step 5: Solve for x
    x = 8,651,696,918.99/105,027.98
  6. Step 6: Final answer
    x = 82,375.16

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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.