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Finding the Fourth Proportional to 201,762.70, 302,528.85 and 83,293.90

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Solution

The fourth proportional to 201,762.70, 302,528.85 and 83,293.90 is: 124,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.70 : 302,528.85 = 83,293.90 : x
  2. Step 2: Convert to fraction form
    201,762.70/302,528.85 = 83,293.90/x
  3. Step 3: Cross multiply
    201,762.70x = 302,528.85 × 83,293.90
  4. Step 4: Simplify right side
    201,762.70x = 25,198,807,779.02
  5. Step 5: Solve for x
    x = 25,198,807,779.02/201,762.70
  6. Step 6: Final answer
    x = 124,893.29

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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.