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Finding the Fourth Proportional to 102,894.40, 154,341.60 and 82,158.40

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Solution

The fourth proportional to 102,894.40, 154,341.60 and 82,158.40 is: 123,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,894.40 : 154,341.60 = 82,158.40 : x
  2. Step 2: Convert to fraction form
    102,894.40/154,341.60 = 82,158.40/x
  3. Step 3: Cross multiply
    102,894.40x = 154,341.60 × 82,158.40
  4. Step 4: Simplify right side
    102,894.40x = 12,680,458,909.44
  5. Step 5: Solve for x
    x = 12,680,458,909.44/102,894.40
  6. Step 6: Final answer
    x = 123,237.60

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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.