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Finding the Fourth Proportional to 265,839, 366,857.82 and 146,607

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Solution

The fourth proportional to 265,839, 366,857.82 and 146,607 is: 202,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,839 : 366,857.82 = 146,607 : x
  2. Step 2: Convert to fraction form
    265,839/366,857.82 = 146,607/x
  3. Step 3: Cross multiply
    265,839x = 366,857.82 × 146,607
  4. Step 4: Simplify right side
    265,839x = 53,783,924,416.74
  5. Step 5: Solve for x
    x = 53,783,924,416.74/265,839
  6. Step 6: Final answer
    x = 202,317.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.