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Finding the Fourth Proportional to 125,509.70, 188,093.50 and 69,266

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Solution

The fourth proportional to 125,509.70, 188,093.50 and 69,266 is: 103,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,509.70 : 188,093.50 = 69,266 : x
  2. Step 2: Convert to fraction form
    125,509.70/188,093.50 = 69,266/x
  3. Step 3: Cross multiply
    125,509.70x = 188,093.50 × 69,266
  4. Step 4: Simplify right side
    125,509.70x = 13,028,484,371
  5. Step 5: Solve for x
    x = 13,028,484,371/125,509.70
  6. Step 6: Final answer
    x = 103,804.60

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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.