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Finding the Fourth Proportional to 266,165.64, 367,308.66 and 146,933.64

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Solution

The fourth proportional to 266,165.64, 367,308.66 and 146,933.64 is: 202,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,165.64 : 367,308.66 = 146,933.64 : x
  2. Step 2: Convert to fraction form
    266,165.64/367,308.66 = 146,933.64/x
  3. Step 3: Cross multiply
    266,165.64x = 367,308.66 × 146,933.64
  4. Step 4: Simplify right side
    266,165.64x = 53,969,998,417.32
  5. Step 5: Solve for x
    x = 53,969,998,417.32/266,165.64
  6. Step 6: Final answer
    x = 202,768.47

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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.