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Finding the Fourth Proportional to 365,219.64, 547,856.97 and 109,031.94

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Solution

The fourth proportional to 365,219.64, 547,856.97 and 109,031.94 is: 163,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,219.64 : 547,856.97 = 109,031.94 : x
  2. Step 2: Convert to fraction form
    365,219.64/547,856.97 = 109,031.94/x
  3. Step 3: Cross multiply
    365,219.64x = 547,856.97 × 109,031.94
  4. Step 4: Simplify right side
    365,219.64x = 59,733,908,281.62
  5. Step 5: Solve for x
    x = 59,733,908,281.62/365,219.64
  6. Step 6: Final answer
    x = 163,556.12

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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.