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Finding the Fourth Proportional to 176,146.66, 264,228.87 and 49,795.97

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Solution

The fourth proportional to 176,146.66, 264,228.87 and 49,795.97 is: 74,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,146.66 : 264,228.87 = 49,795.97 : x
  2. Step 2: Convert to fraction form
    176,146.66/264,228.87 = 49,795.97/x
  3. Step 3: Cross multiply
    176,146.66x = 264,228.87 × 49,795.97
  4. Step 4: Simplify right side
    176,146.66x = 13,157,532,955.43
  5. Step 5: Solve for x
    x = 13,157,532,955.43/176,146.66
  6. Step 6: Final answer
    x = 74,696.47

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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.