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Finding the Fourth Proportional to 130,257, 179,762.22 and 72,895.83

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Solution

The fourth proportional to 130,257, 179,762.22 and 72,895.83 is: 100,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,257 : 179,762.22 = 72,895.83 : x
  2. Step 2: Convert to fraction form
    130,257/179,762.22 = 72,895.83/x
  3. Step 3: Cross multiply
    130,257x = 179,762.22 × 72,895.83
  4. Step 4: Simplify right side
    130,257x = 13,103,916,229.54
  5. Step 5: Solve for x
    x = 13,103,916,229.54/130,257
  6. Step 6: Final answer
    x = 100,600.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.