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Finding the Fourth Proportional to 201,538.85, 302,059.13 and 101,727.50

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Solution

The fourth proportional to 201,538.85, 302,059.13 and 101,727.50 is: 152,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538.85 : 302,059.13 = 101,727.50 : x
  2. Step 2: Convert to fraction form
    201,538.85/302,059.13 = 101,727.50/x
  3. Step 3: Cross multiply
    201,538.85x = 302,059.13 × 101,727.50
  4. Step 4: Simplify right side
    201,538.85x = 30,727,718,128.14
  5. Step 5: Solve for x
    x = 30,727,718,128.14/201,538.85
  6. Step 6: Final answer
    x = 152,465.49

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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.