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Finding the Fourth Proportional to 356,825.80, 534,785.10 and 146,225.80

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Solution

The fourth proportional to 356,825.80, 534,785.10 and 146,225.80 is: 219,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,825.80 : 534,785.10 = 146,225.80 : x
  2. Step 2: Convert to fraction form
    356,825.80/534,785.10 = 146,225.80/x
  3. Step 3: Cross multiply
    356,825.80x = 534,785.10 × 146,225.80
  4. Step 4: Simplify right side
    356,825.80x = 78,199,379,075.58
  5. Step 5: Solve for x
    x = 78,199,379,075.58/356,825.80
  6. Step 6: Final answer
    x = 219,152.82

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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.