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Finding the Fourth Proportional to 135,855.12, 203,717.14 and 56,948.16

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Solution

The fourth proportional to 135,855.12, 203,717.14 and 56,948.16 is: 85,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,855.12 : 203,717.14 = 56,948.16 : x
  2. Step 2: Convert to fraction form
    135,855.12/203,717.14 = 56,948.16/x
  3. Step 3: Cross multiply
    135,855.12x = 203,717.14 × 56,948.16
  4. Step 4: Simplify right side
    135,855.12x = 11,601,316,283.46
  5. Step 5: Solve for x
    x = 11,601,316,283.46/135,855.12
  6. Step 6: Final answer
    x = 85,394.77

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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.