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Finding the Fourth Proportional to 286,496.12, 429,089.81 and 136,842.28

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Solution

The fourth proportional to 286,496.12, 429,089.81 and 136,842.28 is: 204,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,496.12 : 429,089.81 = 136,842.28 : x
  2. Step 2: Convert to fraction form
    286,496.12/429,089.81 = 136,842.28/x
  3. Step 3: Cross multiply
    286,496.12x = 429,089.81 × 136,842.28
  4. Step 4: Simplify right side
    286,496.12x = 58,717,626,168.23
  5. Step 5: Solve for x
    x = 58,717,626,168.23/286,496.12
  6. Step 6: Final answer
    x = 204,950.86

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