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Finding the Fourth Proportional to 189,404.20, 284,106.30 and 180,656.20

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Solution

The fourth proportional to 189,404.20, 284,106.30 and 180,656.20 is: 270,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,404.20 : 284,106.30 = 180,656.20 : x
  2. Step 2: Convert to fraction form
    189,404.20/284,106.30 = 180,656.20/x
  3. Step 3: Cross multiply
    189,404.20x = 284,106.30 × 180,656.20
  4. Step 4: Simplify right side
    189,404.20x = 51,325,564,554.06
  5. Step 5: Solve for x
    x = 51,325,564,554.06/189,404.20
  6. Step 6: Final answer
    x = 270,984.30

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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.