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Finding the Fourth Proportional to 356,823.80, 534,782.10 and 146,223.80

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Solution

The fourth proportional to 356,823.80, 534,782.10 and 146,223.80 is: 219,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,823.80 : 534,782.10 = 146,223.80 : x
  2. Step 2: Convert to fraction form
    356,823.80/534,782.10 = 146,223.80/x
  3. Step 3: Cross multiply
    356,823.80x = 534,782.10 × 146,223.80
  4. Step 4: Simplify right side
    356,823.80x = 78,197,870,833.98
  5. Step 5: Solve for x
    x = 78,197,870,833.98/356,823.80
  6. Step 6: Final answer
    x = 219,149.82

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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.