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Finding the Fourth Proportional to 201,148.70, 301,893.15 and 82,904.90

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Solution

The fourth proportional to 201,148.70, 301,893.15 and 82,904.90 is: 124,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,148.70 : 301,893.15 = 82,904.90 : x
  2. Step 2: Convert to fraction form
    201,148.70/301,893.15 = 82,904.90/x
  3. Step 3: Cross multiply
    201,148.70x = 301,893.15 × 82,904.90
  4. Step 4: Simplify right side
    201,148.70x = 25,028,421,411.44
  5. Step 5: Solve for x
    x = 25,028,421,411.44/201,148.70
  6. Step 6: Final answer
    x = 124,427.46

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1.5x scale

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.