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Finding the Fourth Proportional to 176,234.30, 264,005.85 and 105,904.70

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Solution

The fourth proportional to 176,234.30, 264,005.85 and 105,904.70 is: 158,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,234.30 : 264,005.85 = 105,904.70 : x
  2. Step 2: Convert to fraction form
    176,234.30/264,005.85 = 105,904.70/x
  3. Step 3: Cross multiply
    176,234.30x = 264,005.85 × 105,904.70
  4. Step 4: Simplify right side
    176,234.30x = 27,959,460,342.50
  5. Step 5: Solve for x
    x = 27,959,460,342.50/176,234.30
  6. Step 6: Final answer
    x = 158,649.37

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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.