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Finding the Fourth Proportional to 164,415.60, 246,623.40 and 75,842.10

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Solution

The fourth proportional to 164,415.60, 246,623.40 and 75,842.10 is: 113,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,415.60 : 246,623.40 = 75,842.10 : x
  2. Step 2: Convert to fraction form
    164,415.60/246,623.40 = 75,842.10/x
  3. Step 3: Cross multiply
    164,415.60x = 246,623.40 × 75,842.10
  4. Step 4: Simplify right side
    164,415.60x = 18,704,436,565.14
  5. Step 5: Solve for x
    x = 18,704,436,565.14/164,415.60
  6. Step 6: Final answer
    x = 113,763.15

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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.