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Finding the Fourth Proportional to 201,210.74, 301,582.83 and 189,546.74

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Solution

The fourth proportional to 201,210.74, 301,582.83 and 189,546.74 is: 284,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210.74 : 301,582.83 = 189,546.74 : x
  2. Step 2: Convert to fraction form
    201,210.74/301,582.83 = 189,546.74/x
  3. Step 3: Cross multiply
    201,210.74x = 301,582.83 × 189,546.74
  4. Step 4: Simplify right side
    201,210.74x = 57,164,042,266.47
  5. Step 5: Solve for x
    x = 57,164,042,266.47/201,210.74
  6. Step 6: Final answer
    x = 284,100.35

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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.