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Finding the Fourth Proportional to 208,232.39, 312,309.20 and 101,509.22

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Solution

The fourth proportional to 208,232.39, 312,309.20 and 101,509.22 is: 152,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,232.39 : 312,309.20 = 101,509.22 : x
  2. Step 2: Convert to fraction form
    208,232.39/312,309.20 = 101,509.22/x
  3. Step 3: Cross multiply
    208,232.39x = 312,309.20 × 101,509.22
  4. Step 4: Simplify right side
    208,232.39x = 31,702,264,325.37
  5. Step 5: Solve for x
    x = 31,702,264,325.37/208,232.39
  6. Step 6: Final answer
    x = 152,244.63

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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.