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Finding the Fourth Proportional to 164,486.69, 246,693.12 and 75,654.84

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Solution

The fourth proportional to 164,486.69, 246,693.12 and 75,654.84 is: 113,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,486.69 : 246,693.12 = 75,654.84 : x
  2. Step 2: Convert to fraction form
    164,486.69/246,693.12 = 75,654.84/x
  3. Step 3: Cross multiply
    164,486.69x = 246,693.12 × 75,654.84
  4. Step 4: Simplify right side
    164,486.69x = 18,663,528,522.70
  5. Step 5: Solve for x
    x = 18,663,528,522.70/164,486.69
  6. Step 6: Final answer
    x = 113,465.28

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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.