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Finding the Fourth Proportional to 102,154.87, 153,232.36 and 31,077.37

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Solution

The fourth proportional to 102,154.87, 153,232.36 and 31,077.37 is: 46,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,154.87 : 153,232.36 = 31,077.37 : x
  2. Step 2: Convert to fraction form
    102,154.87/153,232.36 = 31,077.37/x
  3. Step 3: Cross multiply
    102,154.87x = 153,232.36 × 31,077.37
  4. Step 4: Simplify right side
    102,154.87x = 4,762,058,861.54
  5. Step 5: Solve for x
    x = 4,762,058,861.54/102,154.87
  6. Step 6: Final answer
    x = 46,616.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.