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Finding the Fourth Proportional to 164,202.47, 246,400.98 and 69,427.47

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Solution

The fourth proportional to 164,202.47, 246,400.98 and 69,427.47 is: 104,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,202.47 : 246,400.98 = 69,427.47 : x
  2. Step 2: Convert to fraction form
    164,202.47/246,400.98 = 69,427.47/x
  3. Step 3: Cross multiply
    164,202.47x = 246,400.98 × 69,427.47
  4. Step 4: Simplify right side
    164,202.47x = 17,106,996,299.78
  5. Step 5: Solve for x
    x = 17,106,996,299.78/164,202.47
  6. Step 6: Final answer
    x = 104,182.34

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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.