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Finding the Fourth Proportional to 196,504.84, 294,510.61 and 84,052.88

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Solution

The fourth proportional to 196,504.84, 294,510.61 and 84,052.88 is: 125,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,504.84 : 294,510.61 = 84,052.88 : x
  2. Step 2: Convert to fraction form
    196,504.84/294,510.61 = 84,052.88/x
  3. Step 3: Cross multiply
    196,504.84x = 294,510.61 × 84,052.88
  4. Step 4: Simplify right side
    196,504.84x = 24,754,464,961.06
  5. Step 5: Solve for x
    x = 24,754,464,961.06/196,504.84
  6. Step 6: Final answer
    x = 125,973.82

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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.