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Finding the Fourth Proportional to 135,853.89, 203,715.29 and 56,946.93

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Solution

The fourth proportional to 135,853.89, 203,715.29 and 56,946.93 is: 85,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,853.89 : 203,715.29 = 56,946.93 : x
  2. Step 2: Convert to fraction form
    135,853.89/203,715.29 = 56,946.93/x
  3. Step 3: Cross multiply
    135,853.89x = 203,715.29 × 56,946.93
  4. Step 4: Simplify right side
    135,853.89x = 11,600,960,074.83
  5. Step 5: Solve for x
    x = 11,600,960,074.83/135,853.89
  6. Step 6: Final answer
    x = 85,392.92

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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.