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Finding the Fourth Proportional to 192,984.76, 266,448.92 and 120,498

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Solution

The fourth proportional to 192,984.76, 266,448.92 and 120,498 is: 166,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,984.76 : 266,448.92 = 120,498 : x
  2. Step 2: Convert to fraction form
    192,984.76/266,448.92 = 120,498/x
  3. Step 3: Cross multiply
    192,984.76x = 266,448.92 × 120,498
  4. Step 4: Simplify right side
    192,984.76x = 32,106,561,962.16
  5. Step 5: Solve for x
    x = 32,106,561,962.16/192,984.76
  6. Step 6: Final answer
    x = 166,368.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.