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Finding the Fourth Proportional to 97,795.68, 146,722.76 and 56,213.52

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Solution

The fourth proportional to 97,795.68, 146,722.76 and 56,213.52 is: 84,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,795.68 : 146,722.76 = 56,213.52 : x
  2. Step 2: Convert to fraction form
    97,795.68/146,722.76 = 56,213.52/x
  3. Step 3: Cross multiply
    97,795.68x = 146,722.76 × 56,213.52
  4. Step 4: Simplify right side
    97,795.68x = 8,247,802,803.72
  5. Step 5: Solve for x
    x = 8,247,802,803.72/97,795.68
  6. Step 6: Final answer
    x = 84,337.09

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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.