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Finding the Fourth Proportional to 201,875.40, 302,857.38 and 59,709.56

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Solution

The fourth proportional to 201,875.40, 302,857.38 and 59,709.56 is: 89,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,875.40 : 302,857.38 = 59,709.56 : x
  2. Step 2: Convert to fraction form
    201,875.40/302,857.38 = 59,709.56/x
  3. Step 3: Cross multiply
    201,875.40x = 302,857.38 × 59,709.56
  4. Step 4: Simplify right side
    201,875.40x = 18,083,479,388.27
  5. Step 5: Solve for x
    x = 18,083,479,388.27/201,875.40
  6. Step 6: Final answer
    x = 89,577.43

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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.