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Finding the Fourth Proportional to 176,431.80, 264,761.10 and 97,602.60

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Solution

The fourth proportional to 176,431.80, 264,761.10 and 97,602.60 is: 146,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,431.80 : 264,761.10 = 97,602.60 : x
  2. Step 2: Convert to fraction form
    176,431.80/264,761.10 = 97,602.60/x
  3. Step 3: Cross multiply
    176,431.80x = 264,761.10 × 97,602.60
  4. Step 4: Simplify right side
    176,431.80x = 25,841,371,738.86
  5. Step 5: Solve for x
    x = 25,841,371,738.86/176,431.80
  6. Step 6: Final answer
    x = 146,466.63

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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.