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Finding the Fourth Proportional to 221,647.30, 332,002.95 and 146,803.30

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Solution

The fourth proportional to 221,647.30, 332,002.95 and 146,803.30 is: 219,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,647.30 : 332,002.95 = 146,803.30 : x
  2. Step 2: Convert to fraction form
    221,647.30/332,002.95 = 146,803.30/x
  3. Step 3: Cross multiply
    221,647.30x = 332,002.95 × 146,803.30
  4. Step 4: Simplify right side
    221,647.30x = 48,739,128,669.74
  5. Step 5: Solve for x
    x = 48,739,128,669.74/221,647.30
  6. Step 6: Final answer
    x = 219,894.98

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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.