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Finding the Fourth Proportional to 136,044.68, 204,069.07 and 51,809.50

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Solution

The fourth proportional to 136,044.68, 204,069.07 and 51,809.50 is: 77,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,044.68 : 204,069.07 = 51,809.50 : x
  2. Step 2: Convert to fraction form
    136,044.68/204,069.07 = 51,809.50/x
  3. Step 3: Cross multiply
    136,044.68x = 204,069.07 × 51,809.50
  4. Step 4: Simplify right side
    136,044.68x = 10,572,715,842.47
  5. Step 5: Solve for x
    x = 10,572,715,842.47/136,044.68
  6. Step 6: Final answer
    x = 77,715.03

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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.