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Finding the Fourth Proportional to 401,282.65, 602,016.15 and 135,036.04

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Solution

The fourth proportional to 401,282.65, 602,016.15 and 135,036.04 is: 202,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,282.65 : 602,016.15 = 135,036.04 : x
  2. Step 2: Convert to fraction form
    401,282.65/602,016.15 = 135,036.04/x
  3. Step 3: Cross multiply
    401,282.65x = 602,016.15 × 135,036.04
  4. Step 4: Simplify right side
    401,282.65x = 81,293,876,912.05
  5. Step 5: Solve for x
    x = 81,293,876,912.05/401,282.65
  6. Step 6: Final answer
    x = 202,585.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.