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Finding the Fourth Proportional to 283,076.08, 424,614.12 and 72,714.22

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Solution

The fourth proportional to 283,076.08, 424,614.12 and 72,714.22 is: 109,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,076.08 : 424,614.12 = 72,714.22 : x
  2. Step 2: Convert to fraction form
    283,076.08/424,614.12 = 72,714.22/x
  3. Step 3: Cross multiply
    283,076.08x = 424,614.12 × 72,714.22
  4. Step 4: Simplify right side
    283,076.08x = 30,875,484,536.79
  5. Step 5: Solve for x
    x = 30,875,484,536.79/283,076.08
  6. Step 6: Final answer
    x = 109,071.33

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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.