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Finding the Fourth Proportional to 119,198.25, 164,492.91 and 65,482.12

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Solution

The fourth proportional to 119,198.25, 164,492.91 and 65,482.12 is: 90,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,198.25 : 164,492.91 = 65,482.12 : x
  2. Step 2: Convert to fraction form
    119,198.25/164,492.91 = 65,482.12/x
  3. Step 3: Cross multiply
    119,198.25x = 164,492.91 × 65,482.12
  4. Step 4: Simplify right side
    119,198.25x = 10,771,344,471.77
  5. Step 5: Solve for x
    x = 10,771,344,471.77/119,198.25
  6. Step 6: Final answer
    x = 90,364.95

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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.