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Finding the Fourth Proportional to 214,322.36, 295,841.40 and 146,290.64

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Solution

The fourth proportional to 214,322.36, 295,841.40 and 146,290.64 is: 201,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,322.36 : 295,841.40 = 146,290.64 : x
  2. Step 2: Convert to fraction form
    214,322.36/295,841.40 = 146,290.64/x
  3. Step 3: Cross multiply
    214,322.36x = 295,841.40 × 146,290.64
  4. Step 4: Simplify right side
    214,322.36x = 43,278,827,744.50
  5. Step 5: Solve for x
    x = 43,278,827,744.50/214,322.36
  6. Step 6: Final answer
    x = 201,933.33

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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.