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Finding the Fourth Proportional to 116,185.74, 174,262.14 and 37,289.58

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Solution

The fourth proportional to 116,185.74, 174,262.14 and 37,289.58 is: 55,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,185.74 : 174,262.14 = 37,289.58 : x
  2. Step 2: Convert to fraction form
    116,185.74/174,262.14 = 37,289.58/x
  3. Step 3: Cross multiply
    116,185.74x = 174,262.14 × 37,289.58
  4. Step 4: Simplify right side
    116,185.74x = 6,498,162,010.50
  5. Step 5: Solve for x
    x = 6,498,162,010.50/116,185.74
  6. Step 6: Final answer
    x = 55,929.08

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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.