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Finding the Fourth Proportional to 195,246, 292,534.66 and 106,561.74

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Solution

The fourth proportional to 195,246, 292,534.66 and 106,561.74 is: 159,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,246 : 292,534.66 = 106,561.74 : x
  2. Step 2: Convert to fraction form
    195,246/292,534.66 = 106,561.74/x
  3. Step 3: Cross multiply
    195,246x = 292,534.66 × 106,561.74
  4. Step 4: Simplify right side
    195,246x = 31,173,002,379.91
  5. Step 5: Solve for x
    x = 31,173,002,379.91/195,246
  6. Step 6: Final answer
    x = 159,660.13

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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.