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Finding the Fourth Proportional to 106,137.90, 146,468.70 and 58,388.40

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Solution

The fourth proportional to 106,137.90, 146,468.70 and 58,388.40 is: 80,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,137.90 : 146,468.70 = 58,388.40 : x
  2. Step 2: Convert to fraction form
    106,137.90/146,468.70 = 58,388.40/x
  3. Step 3: Cross multiply
    106,137.90x = 146,468.70 × 58,388.40
  4. Step 4: Simplify right side
    106,137.90x = 8,552,073,043.08
  5. Step 5: Solve for x
    x = 8,552,073,043.08/106,137.90
  6. Step 6: Final answer
    x = 80,575.11

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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.