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Finding the Fourth Proportional to 270,947.64, 373,907.80 and 148,440.57

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Solution

The fourth proportional to 270,947.64, 373,907.80 and 148,440.57 is: 204,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,947.64 : 373,907.80 = 148,440.57 : x
  2. Step 2: Convert to fraction form
    270,947.64/373,907.80 = 148,440.57/x
  3. Step 3: Cross multiply
    270,947.64x = 373,907.80 × 148,440.57
  4. Step 4: Simplify right side
    270,947.64x = 55,503,089,002.06
  5. Step 5: Solve for x
    x = 55,503,089,002.06/270,947.64
  6. Step 6: Final answer
    x = 204,848.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.