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Finding the Fourth Proportional to 264,035.96, 364,388.90 and 150,856.28

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Solution

The fourth proportional to 264,035.96, 364,388.90 and 150,856.28 is: 208,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,035.96 : 364,388.90 = 150,856.28 : x
  2. Step 2: Convert to fraction form
    264,035.96/364,388.90 = 150,856.28/x
  3. Step 3: Cross multiply
    264,035.96x = 364,388.90 × 150,856.28
  4. Step 4: Simplify right side
    264,035.96x = 54,970,353,927.29
  5. Step 5: Solve for x
    x = 54,970,353,927.29/264,035.96
  6. Step 6: Final answer
    x = 208,192.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.