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Finding the Fourth Proportional to 450,186.86, 675,031.02 and 184,134.24

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Solution

The fourth proportional to 450,186.86, 675,031.02 and 184,134.24 is: 276,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,186.86 : 675,031.02 = 184,134.24 : x
  2. Step 2: Convert to fraction form
    450,186.86/675,031.02 = 184,134.24/x
  3. Step 3: Cross multiply
    450,186.86x = 675,031.02 × 184,134.24
  4. Step 4: Simplify right side
    450,186.86x = 124,296,323,844.13
  5. Step 5: Solve for x
    x = 124,296,323,844.13/450,186.86
  6. Step 6: Final answer
    x = 276,099.40

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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.