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Finding the Fourth Proportional to 257,144.60, 354,855.66 and 143,971.40

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Solution

The fourth proportional to 257,144.60, 354,855.66 and 143,971.40 is: 198,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,144.60 : 354,855.66 = 143,971.40 : x
  2. Step 2: Convert to fraction form
    257,144.60/354,855.66 = 143,971.40/x
  3. Step 3: Cross multiply
    257,144.60x = 354,855.66 × 143,971.40
  4. Step 4: Simplify right side
    257,144.60x = 51,089,066,168.12
  5. Step 5: Solve for x
    x = 51,089,066,168.12/257,144.60
  6. Step 6: Final answer
    x = 198,678.36

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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.