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Finding the Fourth Proportional to 254,018.72, 380,789.65 and 85,421.12

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Solution

The fourth proportional to 254,018.72, 380,789.65 and 85,421.12 is: 128,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,018.72 : 380,789.65 = 85,421.12 : x
  2. Step 2: Convert to fraction form
    254,018.72/380,789.65 = 85,421.12/x
  3. Step 3: Cross multiply
    254,018.72x = 380,789.65 × 85,421.12
  4. Step 4: Simplify right side
    254,018.72x = 32,527,478,387.41
  5. Step 5: Solve for x
    x = 32,527,478,387.41/254,018.72
  6. Step 6: Final answer
    x = 128,051.50

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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.