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Finding the Fourth Proportional to 264,014.96, 364,207.64 and 188,607.20

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Solution

The fourth proportional to 264,014.96, 364,207.64 and 188,607.20 is: 260,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,014.96 : 364,207.64 = 188,607.20 : x
  2. Step 2: Convert to fraction form
    264,014.96/364,207.64 = 188,607.20/x
  3. Step 3: Cross multiply
    264,014.96x = 364,207.64 × 188,607.20
  4. Step 4: Simplify right side
    264,014.96x = 68,692,183,199.01
  5. Step 5: Solve for x
    x = 68,692,183,199.01/264,014.96
  6. Step 6: Final answer
    x = 260,182.92

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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.