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Finding the Fourth Proportional to 206,643.84, 285,095.16 and 135,065.19

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Solution

The fourth proportional to 206,643.84, 285,095.16 and 135,065.19 is: 186,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,643.84 : 285,095.16 = 135,065.19 : x
  2. Step 2: Convert to fraction form
    206,643.84/285,095.16 = 135,065.19/x
  3. Step 3: Cross multiply
    206,643.84x = 285,095.16 × 135,065.19
  4. Step 4: Simplify right side
    206,643.84x = 38,506,431,953.48
  5. Step 5: Solve for x
    x = 38,506,431,953.48/206,643.84
  6. Step 6: Final answer
    x = 186,342.03

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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.