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Finding the Fourth Proportional to 221,160, 305,095.68 and 149,565.12

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Solution

The fourth proportional to 221,160, 305,095.68 and 149,565.12 is: 206,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,160 : 305,095.68 = 149,565.12 : x
  2. Step 2: Convert to fraction form
    221,160/305,095.68 = 149,565.12/x
  3. Step 3: Cross multiply
    221,160x = 305,095.68 × 149,565.12
  4. Step 4: Simplify right side
    221,160x = 45,631,671,990.68
  5. Step 5: Solve for x
    x = 45,631,671,990.68/221,160
  6. Step 6: Final answer
    x = 206,328.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.