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Finding the Fourth Proportional to 117,164.66, 175,753.14 and 37,209.01

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Solution

The fourth proportional to 117,164.66, 175,753.14 and 37,209.01 is: 55,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,164.66 : 175,753.14 = 37,209.01 : x
  2. Step 2: Convert to fraction form
    117,164.66/175,753.14 = 37,209.01/x
  3. Step 3: Cross multiply
    117,164.66x = 175,753.14 × 37,209.01
  4. Step 4: Simplify right side
    117,164.66x = 6,539,599,465.03
  5. Step 5: Solve for x
    x = 6,539,599,465.03/117,164.66
  6. Step 6: Final answer
    x = 55,815.46

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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.