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Finding the Fourth Proportional to 202,381.64, 303,566.30 and 52,618.62

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Solution

The fourth proportional to 202,381.64, 303,566.30 and 52,618.62 is: 78,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,381.64 : 303,566.30 = 52,618.62 : x
  2. Step 2: Convert to fraction form
    202,381.64/303,566.30 = 52,618.62/x
  3. Step 3: Cross multiply
    202,381.64x = 303,566.30 × 52,618.62
  4. Step 4: Simplify right side
    202,381.64x = 15,973,239,784.51
  5. Step 5: Solve for x
    x = 15,973,239,784.51/202,381.64
  6. Step 6: Final answer
    x = 78,926.33

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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.