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Finding the Fourth Proportional to 205,044.30, 307,566.45 and 151,900.20

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Solution

The fourth proportional to 205,044.30, 307,566.45 and 151,900.20 is: 227,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,044.30 : 307,566.45 = 151,900.20 : x
  2. Step 2: Convert to fraction form
    205,044.30/307,566.45 = 151,900.20/x
  3. Step 3: Cross multiply
    205,044.30x = 307,566.45 × 151,900.20
  4. Step 4: Simplify right side
    205,044.30x = 46,719,405,268.29
  5. Step 5: Solve for x
    x = 46,719,405,268.29/205,044.30
  6. Step 6: Final answer
    x = 227,850.30

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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.