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Finding the Fourth Proportional to 264,999, 365,695.08 and 144,137.72

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Solution

The fourth proportional to 264,999, 365,695.08 and 144,137.72 is: 198,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,999 : 365,695.08 = 144,137.72 : x
  2. Step 2: Convert to fraction form
    264,999/365,695.08 = 144,137.72/x
  3. Step 3: Cross multiply
    264,999x = 365,695.08 × 144,137.72
  4. Step 4: Simplify right side
    264,999x = 52,710,455,046.42
  5. Step 5: Solve for x
    x = 52,710,455,046.42/264,999
  6. Step 6: Final answer
    x = 198,908.13

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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.