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Finding the Fourth Proportional to 106,200.99, 146,557.41 and 58,454.00

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Solution

The fourth proportional to 106,200.99, 146,557.41 and 58,454.00 is: 80,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,200.99 : 146,557.41 = 58,454.00 : x
  2. Step 2: Convert to fraction form
    106,200.99/146,557.41 = 58,454.00/x
  3. Step 3: Cross multiply
    106,200.99x = 146,557.41 × 58,454.00
  4. Step 4: Simplify right side
    106,200.99x = 8,566,865,819.08
  5. Step 5: Solve for x
    x = 8,566,865,819.08/106,200.99
  6. Step 6: Final answer
    x = 80,666.53

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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.