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Finding the Fourth Proportional to 209,867.68, 289,617.66 and 114,374.48

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Solution

The fourth proportional to 209,867.68, 289,617.66 and 114,374.48 is: 157,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,867.68 : 289,617.66 = 114,374.48 : x
  2. Step 2: Convert to fraction form
    209,867.68/289,617.66 = 114,374.48/x
  3. Step 3: Cross multiply
    209,867.68x = 289,617.66 × 114,374.48
  4. Step 4: Simplify right side
    209,867.68x = 33,124,869,261.32
  5. Step 5: Solve for x
    x = 33,124,869,261.32/209,867.68
  6. Step 6: Final answer
    x = 157,836.92

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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.