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Finding the Fourth Proportional to 176,231.40, 264,347.10 and 65,466.60

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Solution

The fourth proportional to 176,231.40, 264,347.10 and 65,466.60 is: 98,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,231.40 : 264,347.10 = 65,466.60 : x
  2. Step 2: Convert to fraction form
    176,231.40/264,347.10 = 65,466.60/x
  3. Step 3: Cross multiply
    176,231.40x = 264,347.10 × 65,466.60
  4. Step 4: Simplify right side
    176,231.40x = 17,305,905,856.86
  5. Step 5: Solve for x
    x = 17,305,905,856.86/176,231.40
  6. Step 6: Final answer
    x = 98,199.90

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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.