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Finding the Fourth Proportional to 264,354.38, 364,809.36 and 143,495.60

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Solution

The fourth proportional to 264,354.38, 364,809.36 and 143,495.60 is: 198,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,354.38 : 364,809.36 = 143,495.60 : x
  2. Step 2: Convert to fraction form
    264,354.38/364,809.36 = 143,495.60/x
  3. Step 3: Cross multiply
    264,354.38x = 364,809.36 × 143,495.60
  4. Step 4: Simplify right side
    264,354.38x = 52,348,537,998.82
  5. Step 5: Solve for x
    x = 52,348,537,998.82/264,354.38
  6. Step 6: Final answer
    x = 198,024.10

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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.