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Finding the Fourth Proportional to 117,940.70, 176,795.85 and 105,499.10

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Solution

The fourth proportional to 117,940.70, 176,795.85 and 105,499.10 is: 158,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,940.70 : 176,795.85 = 105,499.10 : x
  2. Step 2: Convert to fraction form
    117,940.70/176,795.85 = 105,499.10/x
  3. Step 3: Cross multiply
    117,940.70x = 176,795.85 × 105,499.10
  4. Step 4: Simplify right side
    117,940.70x = 18,651,803,058.74
  5. Step 5: Solve for x
    x = 18,651,803,058.74/117,940.70
  6. Step 6: Final answer
    x = 158,145.60

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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.