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Finding the Fourth Proportional to 228,069.50, 314,745.64 and 127,467.50

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Solution

The fourth proportional to 228,069.50, 314,745.64 and 127,467.50 is: 175,910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,069.50 : 314,745.64 = 127,467.50 : x
  2. Step 2: Convert to fraction form
    228,069.50/314,745.64 = 127,467.50/x
  3. Step 3: Cross multiply
    228,069.50x = 314,745.64 × 127,467.50
  4. Step 4: Simplify right side
    228,069.50x = 40,119,839,866.70
  5. Step 5: Solve for x
    x = 40,119,839,866.70/228,069.50
  6. Step 6: Final answer
    x = 175,910.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.