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Finding the Fourth Proportional to 195,877, 293,898.64 and 107,026.71

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Solution

The fourth proportional to 195,877, 293,898.64 and 107,026.71 is: 160,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,877 : 293,898.64 = 107,026.71 : x
  2. Step 2: Convert to fraction form
    195,877/293,898.64 = 107,026.71/x
  3. Step 3: Cross multiply
    195,877x = 293,898.64 × 107,026.71
  4. Step 4: Simplify right side
    195,877x = 31,455,004,512.67
  5. Step 5: Solve for x
    x = 31,455,004,512.67/195,877
  6. Step 6: Final answer
    x = 160,585.49

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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.