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Finding the Fourth Proportional to 264,089.74, 364,442.78 and 143,230.54

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Solution

The fourth proportional to 264,089.74, 364,442.78 and 143,230.54 is: 197,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,089.74 : 364,442.78 = 143,230.54 : x
  2. Step 2: Convert to fraction form
    264,089.74/364,442.78 = 143,230.54/x
  3. Step 3: Cross multiply
    264,089.74x = 364,442.78 × 143,230.54
  4. Step 4: Simplify right side
    264,089.74x = 52,199,336,178.50
  5. Step 5: Solve for x
    x = 52,199,336,178.50/264,089.74
  6. Step 6: Final answer
    x = 197,657.57

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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.