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Finding the Fourth Proportional to 176,151.66, 264,115.10 and 116,110.82

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Solution

The fourth proportional to 176,151.66, 264,115.10 and 116,110.82 is: 174,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,151.66 : 264,115.10 = 116,110.82 : x
  2. Step 2: Convert to fraction form
    176,151.66/264,115.10 = 116,110.82/x
  3. Step 3: Cross multiply
    176,151.66x = 264,115.10 × 116,110.82
  4. Step 4: Simplify right side
    176,151.66x = 30,666,620,835.38
  5. Step 5: Solve for x
    x = 30,666,620,835.38/176,151.66
  6. Step 6: Final answer
    x = 174,092.15

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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.