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Finding the Fourth Proportional to 264,895.16, 365,555.74 and 144,036.34

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Solution

The fourth proportional to 264,895.16, 365,555.74 and 144,036.34 is: 198,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,895.16 : 365,555.74 = 144,036.34 : x
  2. Step 2: Convert to fraction form
    264,895.16/365,555.74 = 144,036.34/x
  3. Step 3: Cross multiply
    264,895.16x = 365,555.74 × 144,036.34
  4. Step 4: Simplify right side
    264,895.16x = 52,653,310,855.59
  5. Step 5: Solve for x
    x = 52,653,310,855.59/264,895.16
  6. Step 6: Final answer
    x = 198,770.38

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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.