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Finding the Fourth Proportional to 133,478.30, 200,211.19 and 38,705.60

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Solution

The fourth proportional to 133,478.30, 200,211.19 and 38,705.60 is: 58,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,478.30 : 200,211.19 = 38,705.60 : x
  2. Step 2: Convert to fraction form
    133,478.30/200,211.19 = 38,705.60/x
  3. Step 3: Cross multiply
    133,478.30x = 200,211.19 × 38,705.60
  4. Step 4: Simplify right side
    133,478.30x = 7,749,294,235.66
  5. Step 5: Solve for x
    x = 7,749,294,235.66/133,478.30
  6. Step 6: Final answer
    x = 58,056.58

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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.