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Finding the Fourth Proportional to 201,352.02, 301,370.69 and 148,029.93

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Solution

The fourth proportional to 201,352.02, 301,370.69 and 148,029.93 is: 221,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352.02 : 301,370.69 = 148,029.93 : x
  2. Step 2: Convert to fraction form
    201,352.02/301,370.69 = 148,029.93/x
  3. Step 3: Cross multiply
    201,352.02x = 301,370.69 × 148,029.93
  4. Step 4: Simplify right side
    201,352.02x = 44,611,881,404.60
  5. Step 5: Solve for x
    x = 44,611,881,404.60/201,352.02
  6. Step 6: Final answer
    x = 221,561.63

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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.