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Finding the Fourth Proportional to 131,465.70, 197,029.26 and 114,530.22

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Solution

The fourth proportional to 131,465.70, 197,029.26 and 114,530.22 is: 171,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,465.70 : 197,029.26 = 114,530.22 : x
  2. Step 2: Convert to fraction form
    131,465.70/197,029.26 = 114,530.22/x
  3. Step 3: Cross multiply
    131,465.70x = 197,029.26 × 114,530.22
  4. Step 4: Simplify right side
    131,465.70x = 22,565,804,494.24
  5. Step 5: Solve for x
    x = 22,565,804,494.24/131,465.70
  6. Step 6: Final answer
    x = 171,647.85

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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.