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Finding the Fourth Proportional to 174,051, 261,101.41 and 66,020.09

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Solution

The fourth proportional to 174,051, 261,101.41 and 66,020.09 is: 99,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,051 : 261,101.41 = 66,020.09 : x
  2. Step 2: Convert to fraction form
    174,051/261,101.41 = 66,020.09/x
  3. Step 3: Cross multiply
    174,051x = 261,101.41 × 66,020.09
  4. Step 4: Simplify right side
    174,051x = 17,237,937,116.77
  5. Step 5: Solve for x
    x = 17,237,937,116.77/174,051
  6. Step 6: Final answer
    x = 99,039.58

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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.