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Finding the Fourth Proportional to 150,130, 207,182.04 and 82,152.92

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Solution

The fourth proportional to 150,130, 207,182.04 and 82,152.92 is: 113,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,130 : 207,182.04 = 82,152.92 : x
  2. Step 2: Convert to fraction form
    150,130/207,182.04 = 82,152.92/x
  3. Step 3: Cross multiply
    150,130x = 207,182.04 × 82,152.92
  4. Step 4: Simplify right side
    150,130x = 17,020,609,557.56
  5. Step 5: Solve for x
    x = 17,020,609,557.56/150,130
  6. Step 6: Final answer
    x = 113,372.47

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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.