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Finding the Fourth Proportional to 214,099.76, 295,433.81 and 118,582.53

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Solution

The fourth proportional to 214,099.76, 295,433.81 and 118,582.53 is: 163,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,099.76 : 295,433.81 = 118,582.53 : x
  2. Step 2: Convert to fraction form
    214,099.76/295,433.81 = 118,582.53/x
  3. Step 3: Cross multiply
    214,099.76x = 295,433.81 × 118,582.53
  4. Step 4: Simplify right side
    214,099.76x = 35,033,288,044.43
  5. Step 5: Solve for x
    x = 35,033,288,044.43/214,099.76
  6. Step 6: Final answer
    x = 163,630.68

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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.