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Finding the Fourth Proportional to 125,922.53, 188,918.28 and 37,176

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Solution

The fourth proportional to 125,922.53, 188,918.28 and 37,176 is: 55,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,922.53 : 188,918.28 = 37,176 : x
  2. Step 2: Convert to fraction form
    125,922.53/188,918.28 = 37,176/x
  3. Step 3: Cross multiply
    125,922.53x = 188,918.28 × 37,176
  4. Step 4: Simplify right side
    125,922.53x = 7,023,225,977.28
  5. Step 5: Solve for x
    x = 7,023,225,977.28/125,922.53
  6. Step 6: Final answer
    x = 55,774.18

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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.