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Finding the Fourth Proportional to 176,408.64, 264,617.28 and 51,753.60

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Solution

The fourth proportional to 176,408.64, 264,617.28 and 51,753.60 is: 77,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,408.64 : 264,617.28 = 51,753.60 : x
  2. Step 2: Convert to fraction form
    176,408.64/264,617.28 = 51,753.60/x
  3. Step 3: Cross multiply
    176,408.64x = 264,617.28 × 51,753.60
  4. Step 4: Simplify right side
    176,408.64x = 13,694,896,862.21
  5. Step 5: Solve for x
    x = 13,694,896,862.21/176,408.64
  6. Step 6: Final answer
    x = 77,631.67

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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.