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Finding the Fourth Proportional to 174,635.70, 261,734.54 and 74,678.58

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Solution

The fourth proportional to 174,635.70, 261,734.54 and 74,678.58 is: 111,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,635.70 : 261,734.54 = 74,678.58 : x
  2. Step 2: Convert to fraction form
    174,635.70/261,734.54 = 74,678.58/x
  3. Step 3: Cross multiply
    174,635.70x = 261,734.54 × 74,678.58
  4. Step 4: Simplify right side
    174,635.70x = 19,545,963,784.15
  5. Step 5: Solve for x
    x = 19,545,963,784.15/174,635.70
  6. Step 6: Final answer
    x = 111,924.22

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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.