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Finding the Fourth Proportional to 140,207.34, 209,312.16 and 135,286.32

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Solution

The fourth proportional to 140,207.34, 209,312.16 and 135,286.32 is: 201,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,207.34 : 209,312.16 = 135,286.32 : x
  2. Step 2: Convert to fraction form
    140,207.34/209,312.16 = 135,286.32/x
  3. Step 3: Cross multiply
    140,207.34x = 209,312.16 × 135,286.32
  4. Step 4: Simplify right side
    140,207.34x = 28,317,071,857.65
  5. Step 5: Solve for x
    x = 28,317,071,857.65/140,207.34
  6. Step 6: Final answer
    x = 201,965.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.