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Finding the Fourth Proportional to 201,725.70, 302,501.06 and 68,570.20

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Solution

The fourth proportional to 201,725.70, 302,501.06 and 68,570.20 is: 102,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,725.70 : 302,501.06 = 68,570.20 : x
  2. Step 2: Convert to fraction form
    201,725.70/302,501.06 = 68,570.20/x
  3. Step 3: Cross multiply
    201,725.70x = 302,501.06 × 68,570.20
  4. Step 4: Simplify right side
    201,725.70x = 20,742,558,184.41
  5. Step 5: Solve for x
    x = 20,742,558,184.41/201,725.70
  6. Step 6: Final answer
    x = 102,825.56

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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.