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Finding the Fourth Proportional to 190,929, 286,321.50 and 153,396.84

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Solution

The fourth proportional to 190,929, 286,321.50 and 153,396.84 is: 230,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,929 : 286,321.50 = 153,396.84 : x
  2. Step 2: Convert to fraction form
    190,929/286,321.50 = 153,396.84/x
  3. Step 3: Cross multiply
    190,929x = 286,321.50 × 153,396.84
  4. Step 4: Simplify right side
    190,929x = 43,920,813,324.06
  5. Step 5: Solve for x
    x = 43,920,813,324.06/190,929
  6. Step 6: Final answer
    x = 230,037.41

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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.