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Finding the Fourth Proportional to 164,193.93, 245,921.83 and 99,978.14

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Solution

The fourth proportional to 164,193.93, 245,921.83 and 99,978.14 is: 149,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,193.93 : 245,921.83 = 99,978.14 : x
  2. Step 2: Convert to fraction form
    164,193.93/245,921.83 = 99,978.14/x
  3. Step 3: Cross multiply
    164,193.93x = 245,921.83 × 99,978.14
  4. Step 4: Simplify right side
    164,193.93x = 24,586,807,513.66
  5. Step 5: Solve for x
    x = 24,586,807,513.66/164,193.93
  6. Step 6: Final answer
    x = 149,742.49

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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.