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Finding the Fourth Proportional to 201,119.40, 301,679.10 and 82,751.40

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Solution

The fourth proportional to 201,119.40, 301,679.10 and 82,751.40 is: 124,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,119.40 : 301,679.10 = 82,751.40 : x
  2. Step 2: Convert to fraction form
    201,119.40/301,679.10 = 82,751.40/x
  3. Step 3: Cross multiply
    201,119.40x = 301,679.10 × 82,751.40
  4. Step 4: Simplify right side
    201,119.40x = 24,964,367,875.74
  5. Step 5: Solve for x
    x = 24,964,367,875.74/201,119.40
  6. Step 6: Final answer
    x = 124,127.10

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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.