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Finding the Fourth Proportional to 176,147.66, 264,109.11 and 116,106.82

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Solution

The fourth proportional to 176,147.66, 264,109.11 and 116,106.82 is: 174,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,147.66 : 264,109.11 = 116,106.82 : x
  2. Step 2: Convert to fraction form
    176,147.66/264,109.11 = 116,106.82/x
  3. Step 3: Cross multiply
    176,147.66x = 264,109.11 × 116,106.82
  4. Step 4: Simplify right side
    176,147.66x = 30,664,867,799.46
  5. Step 5: Solve for x
    x = 30,664,867,799.46/176,147.66
  6. Step 6: Final answer
    x = 174,086.15

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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.