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Finding the Fourth Proportional to 276,008.22, 380,893.47 and 153,502.32

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Solution

The fourth proportional to 276,008.22, 380,893.47 and 153,502.32 is: 211,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,008.22 : 380,893.47 = 153,502.32 : x
  2. Step 2: Convert to fraction form
    276,008.22/380,893.47 = 153,502.32/x
  3. Step 3: Cross multiply
    276,008.22x = 380,893.47 × 153,502.32
  4. Step 4: Simplify right side
    276,008.22x = 58,468,031,317.85
  5. Step 5: Solve for x
    x = 58,468,031,317.85/276,008.22
  6. Step 6: Final answer
    x = 211,834.38

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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.