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Finding the Fourth Proportional to 114,416.20, 171,656.70 and 35,538.40

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Solution

The fourth proportional to 114,416.20, 171,656.70 and 35,538.40 is: 53,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,416.20 : 171,656.70 = 35,538.40 : x
  2. Step 2: Convert to fraction form
    114,416.20/171,656.70 = 35,538.40/x
  3. Step 3: Cross multiply
    114,416.20x = 171,656.70 × 35,538.40
  4. Step 4: Simplify right side
    114,416.20x = 6,100,404,467.28
  5. Step 5: Solve for x
    x = 6,100,404,467.28/114,416.20
  6. Step 6: Final answer
    x = 53,317.66

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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.