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Finding the Fourth Proportional to 264,784.90, 397,052.55 and 96,186.37

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Solution

The fourth proportional to 264,784.90, 397,052.55 and 96,186.37 is: 144,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,784.90 : 397,052.55 = 96,186.37 : x
  2. Step 2: Convert to fraction form
    264,784.90/397,052.55 = 96,186.37/x
  3. Step 3: Cross multiply
    264,784.90x = 397,052.55 × 96,186.37
  4. Step 4: Simplify right side
    264,784.90x = 38,191,043,483.74
  5. Step 5: Solve for x
    x = 38,191,043,483.74/264,784.90
  6. Step 6: Final answer
    x = 144,234.22

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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.