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Finding the Fourth Proportional to 283,642.72, 425,514.68 and 94,114.46

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Solution

The fourth proportional to 283,642.72, 425,514.68 and 94,114.46 is: 141,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,642.72 : 425,514.68 = 94,114.46 : x
  2. Step 2: Convert to fraction form
    283,642.72/425,514.68 = 94,114.46/x
  3. Step 3: Cross multiply
    283,642.72x = 425,514.68 × 94,114.46
  4. Step 4: Simplify right side
    283,642.72x = 40,047,084,330.27
  5. Step 5: Solve for x
    x = 40,047,084,330.27/283,642.72
  6. Step 6: Final answer
    x = 141,188.48

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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.