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Finding the Fourth Proportional to 202,271.10, 303,601.05 and 102,543.90

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Solution

The fourth proportional to 202,271.10, 303,601.05 and 102,543.90 is: 153,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,271.10 : 303,601.05 = 102,543.90 : x
  2. Step 2: Convert to fraction form
    202,271.10/303,601.05 = 102,543.90/x
  3. Step 3: Cross multiply
    202,271.10x = 303,601.05 × 102,543.90
  4. Step 4: Simplify right side
    202,271.10x = 31,132,435,711.10
  5. Step 5: Solve for x
    x = 31,132,435,711.10/202,271.10
  6. Step 6: Final answer
    x = 153,914.40

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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.