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Finding the Fourth Proportional to 256,746.74, 354,191.22 and 166,131.93

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Solution

The fourth proportional to 256,746.74, 354,191.22 and 166,131.93 is: 229,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,746.74 : 354,191.22 = 166,131.93 : x
  2. Step 2: Convert to fraction form
    256,746.74/354,191.22 = 166,131.93/x
  3. Step 3: Cross multiply
    256,746.74x = 354,191.22 × 166,131.93
  4. Step 4: Simplify right side
    256,746.74x = 58,842,470,967.65
  5. Step 5: Solve for x
    x = 58,842,470,967.65/256,746.74
  6. Step 6: Final answer
    x = 229,184.88

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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.