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Finding the Fourth Proportional to 109,007.70, 163,511.55 and 75,657.30

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Solution

The fourth proportional to 109,007.70, 163,511.55 and 75,657.30 is: 113,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,007.70 : 163,511.55 = 75,657.30 : x
  2. Step 2: Convert to fraction form
    109,007.70/163,511.55 = 75,657.30/x
  3. Step 3: Cross multiply
    109,007.70x = 163,511.55 × 75,657.30
  4. Step 4: Simplify right side
    109,007.70x = 12,370,842,391.82
  5. Step 5: Solve for x
    x = 12,370,842,391.82/109,007.70
  6. Step 6: Final answer
    x = 113,485.95

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1.5x scale

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.