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Finding the Fourth Proportional to 210,595.98, 315,614.52 and 92,138.34

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Solution

The fourth proportional to 210,595.98, 315,614.52 and 92,138.34 is: 138,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,595.98 : 315,614.52 = 92,138.34 : x
  2. Step 2: Convert to fraction form
    210,595.98/315,614.52 = 92,138.34/x
  3. Step 3: Cross multiply
    210,595.98x = 315,614.52 × 92,138.34
  4. Step 4: Simplify right side
    210,595.98x = 29,080,197,952.70
  5. Step 5: Solve for x
    x = 29,080,197,952.70/210,595.98
  6. Step 6: Final answer
    x = 138,085.25

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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.