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Finding the Fourth Proportional to 257,191.67, 354,924.45 and 142,477.74

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Solution

The fourth proportional to 257,191.67, 354,924.45 and 142,477.74 is: 196,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,191.67 : 354,924.45 = 142,477.74 : x
  2. Step 2: Convert to fraction form
    257,191.67/354,924.45 = 142,477.74/x
  3. Step 3: Cross multiply
    257,191.67x = 354,924.45 × 142,477.74
  4. Step 4: Simplify right side
    257,191.67x = 50,568,833,506.74
  5. Step 5: Solve for x
    x = 50,568,833,506.74/257,191.67
  6. Step 6: Final answer
    x = 196,619.25

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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.