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Finding the Fourth Proportional to 271,809.10, 407,713.65 and 114,150.70

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Solution

The fourth proportional to 271,809.10, 407,713.65 and 114,150.70 is: 171,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,809.10 : 407,713.65 = 114,150.70 : x
  2. Step 2: Convert to fraction form
    271,809.10/407,713.65 = 114,150.70/x
  3. Step 3: Cross multiply
    271,809.10x = 407,713.65 × 114,150.70
  4. Step 4: Simplify right side
    271,809.10x = 46,540,798,547.06
  5. Step 5: Solve for x
    x = 46,540,798,547.06/271,809.10
  6. Step 6: Final answer
    x = 171,226.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.