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Finding the Fourth Proportional to 106,446.25, 159,669.38 and 59,702.77

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Solution

The fourth proportional to 106,446.25, 159,669.38 and 59,702.77 is: 89,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,446.25 : 159,669.38 = 59,702.77 : x
  2. Step 2: Convert to fraction form
    106,446.25/159,669.38 = 59,702.77/x
  3. Step 3: Cross multiply
    106,446.25x = 159,669.38 × 59,702.77
  4. Step 4: Simplify right side
    106,446.25x = 9,532,704,270.18
  5. Step 5: Solve for x
    x = 9,532,704,270.18/106,446.25
  6. Step 6: Final answer
    x = 89,554.16

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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.