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Finding the Fourth Proportional to 206,683.26, 310,026.57 and 56,931.81

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Solution

The fourth proportional to 206,683.26, 310,026.57 and 56,931.81 is: 85,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,683.26 : 310,026.57 = 56,931.81 : x
  2. Step 2: Convert to fraction form
    206,683.26/310,026.57 = 56,931.81/x
  3. Step 3: Cross multiply
    206,683.26x = 310,026.57 × 56,931.81
  4. Step 4: Simplify right side
    206,683.26x = 17,650,373,778.19
  5. Step 5: Solve for x
    x = 17,650,373,778.19/206,683.26
  6. Step 6: Final answer
    x = 85,398.18

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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.