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Finding the Fourth Proportional to 264,923, 365,595.47 and 144,065.60

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Solution

The fourth proportional to 264,923, 365,595.47 and 144,065.60 is: 198,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,923 : 365,595.47 = 144,065.60 : x
  2. Step 2: Convert to fraction form
    264,923/365,595.47 = 144,065.60/x
  3. Step 3: Cross multiply
    264,923x = 365,595.47 × 144,065.60
  4. Step 4: Simplify right side
    264,923x = 52,669,730,742.83
  5. Step 5: Solve for x
    x = 52,669,730,742.83/264,923
  6. Step 6: Final answer
    x = 198,811.47

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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.