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Finding the Fourth Proportional to 143,116.42, 214,660.05 and 37,946.02

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Solution

The fourth proportional to 143,116.42, 214,660.05 and 37,946.02 is: 56,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,116.42 : 214,660.05 = 37,946.02 : x
  2. Step 2: Convert to fraction form
    143,116.42/214,660.05 = 37,946.02/x
  3. Step 3: Cross multiply
    143,116.42x = 214,660.05 × 37,946.02
  4. Step 4: Simplify right side
    143,116.42x = 8,145,494,550.50
  5. Step 5: Solve for x
    x = 8,145,494,550.50/143,116.42
  6. Step 6: Final answer
    x = 56,915.16

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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.