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Finding the Fourth Proportional to 156,126.85, 234,190.86 and 37,798

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Solution

The fourth proportional to 156,126.85, 234,190.86 and 37,798 is: 56,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,126.85 : 234,190.86 = 37,798 : x
  2. Step 2: Convert to fraction form
    156,126.85/234,190.86 = 37,798/x
  3. Step 3: Cross multiply
    156,126.85x = 234,190.86 × 37,798
  4. Step 4: Simplify right side
    156,126.85x = 8,851,946,126.28
  5. Step 5: Solve for x
    x = 8,851,946,126.28/156,126.85
  6. Step 6: Final answer
    x = 56,697.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.