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Finding the Fourth Proportional to 340,101.42, 469,319.49 and 187,134

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Solution

The fourth proportional to 340,101.42, 469,319.49 and 187,134 is: 258,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,101.42 : 469,319.49 = 187,134 : x
  2. Step 2: Convert to fraction form
    340,101.42/469,319.49 = 187,134/x
  3. Step 3: Cross multiply
    340,101.42x = 469,319.49 × 187,134
  4. Step 4: Simplify right side
    340,101.42x = 87,825,633,441.66
  5. Step 5: Solve for x
    x = 87,825,633,441.66/340,101.42
  6. Step 6: Final answer
    x = 258,233.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.