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Finding the Fourth Proportional to 221,254.74, 305,355.06 and 135,264.06

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Solution

The fourth proportional to 221,254.74, 305,355.06 and 135,264.06 is: 186,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,254.74 : 305,355.06 = 135,264.06 : x
  2. Step 2: Convert to fraction form
    221,254.74/305,355.06 = 135,264.06/x
  3. Step 3: Cross multiply
    221,254.74x = 305,355.06 × 135,264.06
  4. Step 4: Simplify right side
    221,254.74x = 41,303,565,157.14
  5. Step 5: Solve for x
    x = 41,303,565,157.14/221,254.74
  6. Step 6: Final answer
    x = 186,678.78

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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.