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Finding the Fourth Proportional to 208,232.35, 312,309.11 and 101,509.10

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Solution

The fourth proportional to 208,232.35, 312,309.11 and 101,509.10 is: 152,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,232.35 : 312,309.11 = 101,509.10 : x
  2. Step 2: Convert to fraction form
    208,232.35/312,309.11 = 101,509.10/x
  3. Step 3: Cross multiply
    208,232.35x = 312,309.11 × 101,509.10
  4. Step 4: Simplify right side
    208,232.35x = 31,702,216,677.90
  5. Step 5: Solve for x
    x = 31,702,216,677.90/208,232.35
  6. Step 6: Final answer
    x = 152,244.44

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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.