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Finding the Fourth Proportional to 264,188.68, 364,580.32 and 151,013.86

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Solution

The fourth proportional to 264,188.68, 364,580.32 and 151,013.86 is: 208,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,188.68 : 364,580.32 = 151,013.86 : x
  2. Step 2: Convert to fraction form
    264,188.68/364,580.32 = 151,013.86/x
  3. Step 3: Cross multiply
    264,188.68x = 364,580.32 × 151,013.86
  4. Step 4: Simplify right side
    264,188.68x = 55,056,681,403.24
  5. Step 5: Solve for x
    x = 55,056,681,403.24/264,188.68
  6. Step 6: Final answer
    x = 208,399.09

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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.