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Finding the Fourth Proportional to 135,263.82, 202,914.23 and 56,359.64

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Solution

The fourth proportional to 135,263.82, 202,914.23 and 56,359.64 is: 84,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,263.82 : 202,914.23 = 56,359.64 : x
  2. Step 2: Convert to fraction form
    135,263.82/202,914.23 = 56,359.64/x
  3. Step 3: Cross multiply
    135,263.82x = 202,914.23 × 56,359.64
  4. Step 4: Simplify right side
    135,263.82x = 11,436,171,657.31
  5. Step 5: Solve for x
    x = 11,436,171,657.31/135,263.82
  6. Step 6: Final answer
    x = 84,547.16

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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.