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Finding the Fourth Proportional to 286,234.80, 429,006.60 and 145,921.20

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Solution

The fourth proportional to 286,234.80, 429,006.60 and 145,921.20 is: 218,705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,234.80 : 429,006.60 = 145,921.20 : x
  2. Step 2: Convert to fraction form
    286,234.80/429,006.60 = 145,921.20/x
  3. Step 3: Cross multiply
    286,234.80x = 429,006.60 × 145,921.20
  4. Step 4: Simplify right side
    286,234.80x = 62,601,157,879.92
  5. Step 5: Solve for x
    x = 62,601,157,879.92/286,234.80
  6. Step 6: Final answer
    x = 218,705.61

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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.