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Finding the Fourth Proportional to 139,195.26, 208,724.85 and 97,095.51

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Solution

The fourth proportional to 139,195.26, 208,724.85 and 97,095.51 is: 145,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,195.26 : 208,724.85 = 97,095.51 : x
  2. Step 2: Convert to fraction form
    139,195.26/208,724.85 = 97,095.51/x
  3. Step 3: Cross multiply
    139,195.26x = 208,724.85 × 97,095.51
  4. Step 4: Simplify right side
    139,195.26x = 20,266,245,760.42
  5. Step 5: Solve for x
    x = 20,266,245,760.42/139,195.26
  6. Step 6: Final answer
    x = 145,595.80

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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.