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Finding the Fourth Proportional to 250,683.26, 375,837.87 and 150,820.05

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Solution

The fourth proportional to 250,683.26, 375,837.87 and 150,820.05 is: 226,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,683.26 : 375,837.87 = 150,820.05 : x
  2. Step 2: Convert to fraction form
    250,683.26/375,837.87 = 150,820.05/x
  3. Step 3: Cross multiply
    250,683.26x = 375,837.87 × 150,820.05
  4. Step 4: Simplify right side
    250,683.26x = 56,683,887,263.22
  5. Step 5: Solve for x
    x = 56,683,887,263.22/250,683.26
  6. Step 6: Final answer
    x = 226,117.57

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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.