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Finding the Fourth Proportional to 178,893.64, 246,770.43 and 111,709

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Solution

The fourth proportional to 178,893.64, 246,770.43 and 111,709 is: 154,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,893.64 : 246,770.43 = 111,709 : x
  2. Step 2: Convert to fraction form
    178,893.64/246,770.43 = 111,709/x
  3. Step 3: Cross multiply
    178,893.64x = 246,770.43 × 111,709
  4. Step 4: Simplify right side
    178,893.64x = 27,566,477,964.87
  5. Step 5: Solve for x
    x = 27,566,477,964.87/178,893.64
  6. Step 6: Final answer
    x = 154,094.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.