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Finding the Fourth Proportional to 139,003.25, 208,506.70 and 45,509

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Solution

The fourth proportional to 139,003.25, 208,506.70 and 45,509 is: 68,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,003.25 : 208,506.70 = 45,509 : x
  2. Step 2: Convert to fraction form
    139,003.25/208,506.70 = 45,509/x
  3. Step 3: Cross multiply
    139,003.25x = 208,506.70 × 45,509
  4. Step 4: Simplify right side
    139,003.25x = 9,488,931,410.30
  5. Step 5: Solve for x
    x = 9,488,931,410.30/139,003.25
  6. Step 6: Final answer
    x = 68,264.10

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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.