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Finding the Fourth Proportional to 201,210.80, 301,706.85 and 82,894.10

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Solution

The fourth proportional to 201,210.80, 301,706.85 and 82,894.10 is: 124,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210.80 : 301,706.85 = 82,894.10 : x
  2. Step 2: Convert to fraction form
    201,210.80/301,706.85 = 82,894.10/x
  3. Step 3: Cross multiply
    201,210.80x = 301,706.85 × 82,894.10
  4. Step 4: Simplify right side
    201,210.80x = 25,009,717,794.59
  5. Step 5: Solve for x
    x = 25,009,717,794.59/201,210.80
  6. Step 6: Final answer
    x = 124,296.10

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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.