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Finding the Fourth Proportional to 195,900.16, 293,833.90 and 138,737.72

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Solution

The fourth proportional to 195,900.16, 293,833.90 and 138,737.72 is: 208,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,900.16 : 293,833.90 = 138,737.72 : x
  2. Step 2: Convert to fraction form
    195,900.16/293,833.90 = 138,737.72/x
  3. Step 3: Cross multiply
    195,900.16x = 293,833.90 × 138,737.72
  4. Step 4: Simplify right side
    195,900.16x = 40,765,845,344.71
  5. Step 5: Solve for x
    x = 40,765,845,344.71/195,900.16
  6. Step 6: Final answer
    x = 208,095.01

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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.