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Finding the Fourth Proportional to 119,104.83, 164,322.68 and 73,148.67

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Solution

The fourth proportional to 119,104.83, 164,322.68 and 73,148.67 is: 100,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,104.83 : 164,322.68 = 73,148.67 : x
  2. Step 2: Convert to fraction form
    119,104.83/164,322.68 = 73,148.67/x
  3. Step 3: Cross multiply
    119,104.83x = 164,322.68 × 73,148.67
  4. Step 4: Simplify right side
    119,104.83x = 12,019,985,127.09
  5. Step 5: Solve for x
    x = 12,019,985,127.09/119,104.83
  6. Step 6: Final answer
    x = 100,919.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.