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Finding the Fourth Proportional to 185,190.10, 277,457.10 and 156,977.80

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Solution

The fourth proportional to 185,190.10, 277,457.10 and 156,977.80 is: 235,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,190.10 : 277,457.10 = 156,977.80 : x
  2. Step 2: Convert to fraction form
    185,190.10/277,457.10 = 156,977.80/x
  3. Step 3: Cross multiply
    185,190.10x = 277,457.10 × 156,977.80
  4. Step 4: Simplify right side
    185,190.10x = 43,554,605,152.38
  5. Step 5: Solve for x
    x = 43,554,605,152.38/185,190.10
  6. Step 6: Final answer
    x = 235,188.63

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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.