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Finding the Fourth Proportional to 177,369.97, 265,896.71 and 65,023.95

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Solution

The fourth proportional to 177,369.97, 265,896.71 and 65,023.95 is: 97,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,369.97 : 265,896.71 = 65,023.95 : x
  2. Step 2: Convert to fraction form
    177,369.97/265,896.71 = 65,023.95/x
  3. Step 3: Cross multiply
    177,369.97x = 265,896.71 × 65,023.95
  4. Step 4: Simplify right side
    177,369.97x = 17,289,653,541.65
  5. Step 5: Solve for x
    x = 17,289,653,541.65/177,369.97
  6. Step 6: Final answer
    x = 97,477.91

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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.