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Finding the Fourth Proportional to 195,886.37, 293,829.56 and 55,626.77

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Solution

The fourth proportional to 195,886.37, 293,829.56 and 55,626.77 is: 83,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,886.37 : 293,829.56 = 55,626.77 : x
  2. Step 2: Convert to fraction form
    195,886.37/293,829.56 = 55,626.77/x
  3. Step 3: Cross multiply
    195,886.37x = 293,829.56 × 55,626.77
  4. Step 4: Simplify right side
    195,886.37x = 16,344,790,018.36
  5. Step 5: Solve for x
    x = 16,344,790,018.36/195,886.37
  6. Step 6: Final answer
    x = 83,440.16

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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.