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Finding the Fourth Proportional to 114,514, 158,029.32 and 64,213

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Solution

The fourth proportional to 114,514, 158,029.32 and 64,213 is: 88,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,514 : 158,029.32 = 64,213 : x
  2. Step 2: Convert to fraction form
    114,514/158,029.32 = 64,213/x
  3. Step 3: Cross multiply
    114,514x = 158,029.32 × 64,213
  4. Step 4: Simplify right side
    114,514x = 10,147,536,725.16
  5. Step 5: Solve for x
    x = 10,147,536,725.16/114,514
  6. Step 6: Final answer
    x = 88,613.94

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