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Finding the Fourth Proportional to 161,811.84, 222,792.18 and 137,565.09

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Solution

The fourth proportional to 161,811.84, 222,792.18 and 137,565.09 is: 189,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,811.84 : 222,792.18 = 137,565.09 : x
  2. Step 2: Convert to fraction form
    161,811.84/222,792.18 = 137,565.09/x
  3. Step 3: Cross multiply
    161,811.84x = 222,792.18 × 137,565.09
  4. Step 4: Simplify right side
    161,811.84x = 30,648,426,293.00
  5. Step 5: Solve for x
    x = 30,648,426,293.00/161,811.84
  6. Step 6: Final answer
    x = 189,407.81

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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.