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Finding the Fourth Proportional to 201,352.68, 301,371.84 and 148,030.56

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Solution

The fourth proportional to 201,352.68, 301,371.84 and 148,030.56 is: 221,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352.68 : 301,371.84 = 148,030.56 : x
  2. Step 2: Convert to fraction form
    201,352.68/301,371.84 = 148,030.56/x
  3. Step 3: Cross multiply
    201,352.68x = 301,371.84 × 148,030.56
  4. Step 4: Simplify right side
    201,352.68x = 44,612,242,243.43
  5. Step 5: Solve for x
    x = 44,612,242,243.43/201,352.68
  6. Step 6: Final answer
    x = 221,562.69

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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.