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Finding the Fourth Proportional to 208,059.20, 312,088.80 and 133,409.60

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Solution

The fourth proportional to 208,059.20, 312,088.80 and 133,409.60 is: 200,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.20 : 312,088.80 = 133,409.60 : x
  2. Step 2: Convert to fraction form
    208,059.20/312,088.80 = 133,409.60/x
  3. Step 3: Cross multiply
    208,059.20x = 312,088.80 × 133,409.60
  4. Step 4: Simplify right side
    208,059.20x = 41,635,641,972.48
  5. Step 5: Solve for x
    x = 41,635,641,972.48/208,059.20
  6. Step 6: Final answer
    x = 200,114.40

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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.