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Finding the Fourth Proportional to 264,929.46, 365,605.10 and 144,071.88

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Solution

The fourth proportional to 264,929.46, 365,605.10 and 144,071.88 is: 198,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,929.46 : 365,605.10 = 144,071.88 : x
  2. Step 2: Convert to fraction form
    264,929.46/365,605.10 = 144,071.88/x
  3. Step 3: Cross multiply
    264,929.46x = 365,605.10 × 144,071.88
  4. Step 4: Simplify right side
    264,929.46x = 52,673,413,374.23
  5. Step 5: Solve for x
    x = 52,673,413,374.23/264,929.46
  6. Step 6: Final answer
    x = 198,820.52

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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.