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Finding the Fourth Proportional to 201,772.20, 302,543.10 and 83,303.40

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Solution

The fourth proportional to 201,772.20, 302,543.10 and 83,303.40 is: 124,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,772.20 : 302,543.10 = 83,303.40 : x
  2. Step 2: Convert to fraction form
    201,772.20/302,543.10 = 83,303.40/x
  3. Step 3: Cross multiply
    201,772.20x = 302,543.10 × 83,303.40
  4. Step 4: Simplify right side
    201,772.20x = 25,202,868,876.54
  5. Step 5: Solve for x
    x = 25,202,868,876.54/201,772.20
  6. Step 6: Final answer
    x = 124,907.54

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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.