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Finding the Fourth Proportional to 176,553.90, 264,830.85 and 97,821.90

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Solution

The fourth proportional to 176,553.90, 264,830.85 and 97,821.90 is: 146,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,553.90 : 264,830.85 = 97,821.90 : x
  2. Step 2: Convert to fraction form
    176,553.90/264,830.85 = 97,821.90/x
  3. Step 3: Cross multiply
    176,553.90x = 264,830.85 × 97,821.90
  4. Step 4: Simplify right side
    176,553.90x = 25,906,256,925.62
  5. Step 5: Solve for x
    x = 25,906,256,925.62/176,553.90
  6. Step 6: Final answer
    x = 146,732.85

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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.