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Finding the Fourth Proportional to 164,735.40, 247,030.20 and 75,943.20

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Solution

The fourth proportional to 164,735.40, 247,030.20 and 75,943.20 is: 113,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,735.40 : 247,030.20 = 75,943.20 : x
  2. Step 2: Convert to fraction form
    164,735.40/247,030.20 = 75,943.20/x
  3. Step 3: Cross multiply
    164,735.40x = 247,030.20 × 75,943.20
  4. Step 4: Simplify right side
    164,735.40x = 18,760,263,884.64
  5. Step 5: Solve for x
    x = 18,760,263,884.64/164,735.40
  6. Step 6: Final answer
    x = 113,881.19

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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.