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Finding the Fourth Proportional to 207,411.30, 286,152.75 and 135,832.14

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Solution

The fourth proportional to 207,411.30, 286,152.75 and 135,832.14 is: 187,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,411.30 : 286,152.75 = 135,832.14 : x
  2. Step 2: Convert to fraction form
    207,411.30/286,152.75 = 135,832.14/x
  3. Step 3: Cross multiply
    207,411.30x = 286,152.75 × 135,832.14
  4. Step 4: Simplify right side
    207,411.30x = 38,868,740,399.39
  5. Step 5: Solve for x
    x = 38,868,740,399.39/207,411.30
  6. Step 6: Final answer
    x = 187,399.34

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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.