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Finding the Fourth Proportional to 106,793, 147,374.34 and 59,689

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Solution

The fourth proportional to 106,793, 147,374.34 and 59,689 is: 82,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,793 : 147,374.34 = 59,689 : x
  2. Step 2: Convert to fraction form
    106,793/147,374.34 = 59,689/x
  3. Step 3: Cross multiply
    106,793x = 147,374.34 × 59,689
  4. Step 4: Simplify right side
    106,793x = 8,796,626,980.26
  5. Step 5: Solve for x
    x = 8,796,626,980.26/106,793
  6. Step 6: Final answer
    x = 82,370.82

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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.