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Finding the Fourth Proportional to 201,086.94, 301,059.21 and 153,646.62

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Solution

The fourth proportional to 201,086.94, 301,059.21 and 153,646.62 is: 230,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,086.94 : 301,059.21 = 153,646.62 : x
  2. Step 2: Convert to fraction form
    201,086.94/301,059.21 = 153,646.62/x
  3. Step 3: Cross multiply
    201,086.94x = 301,059.21 × 153,646.62
  4. Step 4: Simplify right side
    201,086.94x = 46,256,730,036.37
  5. Step 5: Solve for x
    x = 46,256,730,036.37/201,086.94
  6. Step 6: Final answer
    x = 230,033.49

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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.