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Finding the Fourth Proportional to 280,104.10, 420,156.15 and 93,091.30

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Solution

The fourth proportional to 280,104.10, 420,156.15 and 93,091.30 is: 139,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,104.10 : 420,156.15 = 93,091.30 : x
  2. Step 2: Convert to fraction form
    280,104.10/420,156.15 = 93,091.30/x
  3. Step 3: Cross multiply
    280,104.10x = 420,156.15 × 93,091.30
  4. Step 4: Simplify right side
    280,104.10x = 39,112,882,206.50
  5. Step 5: Solve for x
    x = 39,112,882,206.50/280,104.10
  6. Step 6: Final answer
    x = 139,636.95

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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.