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Finding the Fourth Proportional to 124,106.97, 186,135.99 and 34,126.50

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Solution

The fourth proportional to 124,106.97, 186,135.99 and 34,126.50 is: 51,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,106.97 : 186,135.99 = 34,126.50 : x
  2. Step 2: Convert to fraction form
    124,106.97/186,135.99 = 34,126.50/x
  3. Step 3: Cross multiply
    124,106.97x = 186,135.99 × 34,126.50
  4. Step 4: Simplify right side
    124,106.97x = 6,352,169,862.74
  5. Step 5: Solve for x
    x = 6,352,169,862.74/124,106.97
  6. Step 6: Final answer
    x = 51,183.02

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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.