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Finding the Fourth Proportional to 221,766.66, 306,038.10 and 119,792.11

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Solution

The fourth proportional to 221,766.66, 306,038.10 and 119,792.11 is: 165,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,766.66 : 306,038.10 = 119,792.11 : x
  2. Step 2: Convert to fraction form
    221,766.66/306,038.10 = 119,792.11/x
  3. Step 3: Cross multiply
    221,766.66x = 306,038.10 × 119,792.11
  4. Step 4: Simplify right side
    221,766.66x = 36,660,950,695.76
  5. Step 5: Solve for x
    x = 36,660,950,695.76/221,766.66
  6. Step 6: Final answer
    x = 165,313.18

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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.