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Finding the Fourth Proportional to 203,897.60, 305,846.40 and 133,038.80

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Solution

The fourth proportional to 203,897.60, 305,846.40 and 133,038.80 is: 199,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,897.60 : 305,846.40 = 133,038.80 : x
  2. Step 2: Convert to fraction form
    203,897.60/305,846.40 = 133,038.80/x
  3. Step 3: Cross multiply
    203,897.60x = 305,846.40 × 133,038.80
  4. Step 4: Simplify right side
    203,897.60x = 40,689,438,040.32
  5. Step 5: Solve for x
    x = 40,689,438,040.32/203,897.60
  6. Step 6: Final answer
    x = 199,558.20

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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.