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Finding the Fourth Proportional to 217,089.12, 299,341.80 and 136,419.60

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Solution

The fourth proportional to 217,089.12, 299,341.80 and 136,419.60 is: 188,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,089.12 : 299,341.80 = 136,419.60 : x
  2. Step 2: Convert to fraction form
    217,089.12/299,341.80 = 136,419.60/x
  3. Step 3: Cross multiply
    217,089.12x = 299,341.80 × 136,419.60
  4. Step 4: Simplify right side
    217,089.12x = 40,836,088,619.28
  5. Step 5: Solve for x
    x = 40,836,088,619.28/217,089.12
  6. Step 6: Final answer
    x = 188,107.49

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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.