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Finding the Fourth Proportional to 283,514.27, 425,123.73 and 133,714.32

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Solution

The fourth proportional to 283,514.27, 425,123.73 and 133,714.32 is: 200,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,514.27 : 425,123.73 = 133,714.32 : x
  2. Step 2: Convert to fraction form
    283,514.27/425,123.73 = 133,714.32/x
  3. Step 3: Cross multiply
    283,514.27x = 425,123.73 × 133,714.32
  4. Step 4: Simplify right side
    283,514.27x = 56,845,130,472.81
  5. Step 5: Solve for x
    x = 56,845,130,472.81/283,514.27
  6. Step 6: Final answer
    x = 200,501.84

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1.5x scale

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.