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Finding the Fourth Proportional to 124,400, 186,629.16 and 41,294

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Solution

The fourth proportional to 124,400, 186,629.16 and 41,294 is: 61,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,400 : 186,629.16 = 41,294 : x
  2. Step 2: Convert to fraction form
    124,400/186,629.16 = 41,294/x
  3. Step 3: Cross multiply
    124,400x = 186,629.16 × 41,294
  4. Step 4: Simplify right side
    124,400x = 7,706,664,533.04
  5. Step 5: Solve for x
    x = 7,706,664,533.04/124,400
  6. Step 6: Final answer
    x = 61,950.68

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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.