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Finding the Fourth Proportional to 199,113.60, 298,670.40 and 74,438.40

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Solution

The fourth proportional to 199,113.60, 298,670.40 and 74,438.40 is: 111,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,113.60 : 298,670.40 = 74,438.40 : x
  2. Step 2: Convert to fraction form
    199,113.60/298,670.40 = 74,438.40/x
  3. Step 3: Cross multiply
    199,113.60x = 298,670.40 × 74,438.40
  4. Step 4: Simplify right side
    199,113.60x = 22,232,546,703.36
  5. Step 5: Solve for x
    x = 22,232,546,703.36/199,113.60
  6. Step 6: Final answer
    x = 111,657.60

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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.