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Finding the Fourth Proportional to 264,924, 365,596.85 and 144,066.60

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Solution

The fourth proportional to 264,924, 365,596.85 and 144,066.60 is: 198,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,924 : 365,596.85 = 144,066.60 : x
  2. Step 2: Convert to fraction form
    264,924/365,596.85 = 144,066.60/x
  3. Step 3: Cross multiply
    264,924x = 365,596.85 × 144,066.60
  4. Step 4: Simplify right side
    264,924x = 52,670,295,150.21
  5. Step 5: Solve for x
    x = 52,670,295,150.21/264,924
  6. Step 6: Final answer
    x = 198,812.85

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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.