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Finding the Fourth Proportional to 195,501, 293,254.38 and 47,757

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Solution

The fourth proportional to 195,501, 293,254.38 and 47,757 is: 71,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,501 : 293,254.38 = 47,757 : x
  2. Step 2: Convert to fraction form
    195,501/293,254.38 = 47,757/x
  3. Step 3: Cross multiply
    195,501x = 293,254.38 × 47,757
  4. Step 4: Simplify right side
    195,501x = 14,004,949,425.66
  5. Step 5: Solve for x
    x = 14,004,949,425.66/195,501
  6. Step 6: Final answer
    x = 71,636.20

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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.