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Finding the Fourth Proportional to 154,871.30, 232,214 and 53,636

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Solution

The fourth proportional to 154,871.30, 232,214 and 53,636 is: 80,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,871.30 : 232,214 = 53,636 : x
  2. Step 2: Convert to fraction form
    154,871.30/232,214 = 53,636/x
  3. Step 3: Cross multiply
    154,871.30x = 232,214 × 53,636
  4. Step 4: Simplify right side
    154,871.30x = 12,455,030,104
  5. Step 5: Solve for x
    x = 12,455,030,104/154,871.30
  6. Step 6: Final answer
    x = 80,421.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.