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Finding the Fourth Proportional to 243,000.30, 364,500.45 and 189,856.20

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Solution

The fourth proportional to 243,000.30, 364,500.45 and 189,856.20 is: 284,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,000.30 : 364,500.45 = 189,856.20 : x
  2. Step 2: Convert to fraction form
    243,000.30/364,500.45 = 189,856.20/x
  3. Step 3: Cross multiply
    243,000.30x = 364,500.45 × 189,856.20
  4. Step 4: Simplify right side
    243,000.30x = 69,202,670,335.29
  5. Step 5: Solve for x
    x = 69,202,670,335.29/243,000.30
  6. Step 6: Final answer
    x = 284,784.30

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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.