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Finding the Fourth Proportional to 191,678.82, 264,518.56 and 105,640.95

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Solution

The fourth proportional to 191,678.82, 264,518.56 and 105,640.95 is: 145,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,678.82 : 264,518.56 = 105,640.95 : x
  2. Step 2: Convert to fraction form
    191,678.82/264,518.56 = 105,640.95/x
  3. Step 3: Cross multiply
    191,678.82x = 264,518.56 × 105,640.95
  4. Step 4: Simplify right side
    191,678.82x = 27,943,993,095.03
  5. Step 5: Solve for x
    x = 27,943,993,095.03/191,678.82
  6. Step 6: Final answer
    x = 145,785.51

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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.