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Finding the Fourth Proportional to 214,514.85, 296,073.57 and 123,885.57

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Solution

The fourth proportional to 214,514.85, 296,073.57 and 123,885.57 is: 170,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,514.85 : 296,073.57 = 123,885.57 : x
  2. Step 2: Convert to fraction form
    214,514.85/296,073.57 = 123,885.57/x
  3. Step 3: Cross multiply
    214,514.85x = 296,073.57 × 123,885.57
  4. Step 4: Simplify right side
    214,514.85x = 36,679,242,981.38
  5. Step 5: Solve for x
    x = 36,679,242,981.38/214,514.85
  6. Step 6: Final answer
    x = 170,986.96

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1.5x scale

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.