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Finding the Fourth Proportional to 139,005, 208,509.32 and 45,510.75

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Solution

The fourth proportional to 139,005, 208,509.32 and 45,510.75 is: 68,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,005 : 208,509.32 = 45,510.75 : x
  2. Step 2: Convert to fraction form
    139,005/208,509.32 = 45,510.75/x
  3. Step 3: Cross multiply
    139,005x = 208,509.32 × 45,510.75
  4. Step 4: Simplify right side
    139,005x = 9,489,415,648.97
  5. Step 5: Solve for x
    x = 9,489,415,648.97/139,005
  6. Step 6: Final answer
    x = 68,266.72

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Why These Related Problems?

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