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Finding the Fourth Proportional to 185,647.64, 256,191 and 105,090.44

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Solution

The fourth proportional to 185,647.64, 256,191 and 105,090.44 is: 145,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,647.64 : 256,191 = 105,090.44 : x
  2. Step 2: Convert to fraction form
    185,647.64/256,191 = 105,090.44/x
  3. Step 3: Cross multiply
    185,647.64x = 256,191 × 105,090.44
  4. Step 4: Simplify right side
    185,647.64x = 26,923,224,914.04
  5. Step 5: Solve for x
    x = 26,923,224,914.04/185,647.64
  6. Step 6: Final answer
    x = 145,023.25

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1.5x scale

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.