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Finding the Fourth Proportional to 264,189.68, 364,581.70 and 151,014.86

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Solution

The fourth proportional to 264,189.68, 364,581.70 and 151,014.86 is: 208,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,189.68 : 364,581.70 = 151,014.86 : x
  2. Step 2: Convert to fraction form
    264,189.68/364,581.70 = 151,014.86/x
  3. Step 3: Cross multiply
    264,189.68x = 364,581.70 × 151,014.86
  4. Step 4: Simplify right side
    264,189.68x = 55,057,254,384.06
  5. Step 5: Solve for x
    x = 55,057,254,384.06/264,189.68
  6. Step 6: Final answer
    x = 208,400.47

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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.