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Finding the Fourth Proportional to 106,702.74, 147,237.24 and 58,953.24

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Solution

The fourth proportional to 106,702.74, 147,237.24 and 58,953.24 is: 81,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,702.74 : 147,237.24 = 58,953.24 : x
  2. Step 2: Convert to fraction form
    106,702.74/147,237.24 = 58,953.24/x
  3. Step 3: Cross multiply
    106,702.74x = 147,237.24 × 58,953.24
  4. Step 4: Simplify right side
    106,702.74x = 8,680,112,346.66
  5. Step 5: Solve for x
    x = 8,680,112,346.66/106,702.74
  6. Step 6: Final answer
    x = 81,348.54

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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.