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Finding the Fourth Proportional to 277,162.12, 382,494.90 and 154,665.22

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Solution

The fourth proportional to 277,162.12, 382,494.90 and 154,665.22 is: 213,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,162.12 : 382,494.90 = 154,665.22 : x
  2. Step 2: Convert to fraction form
    277,162.12/382,494.90 = 154,665.22/x
  3. Step 3: Cross multiply
    277,162.12x = 382,494.90 × 154,665.22
  4. Step 4: Simplify right side
    277,162.12x = 59,158,657,857.38
  5. Step 5: Solve for x
    x = 59,158,657,857.38/277,162.12
  6. Step 6: Final answer
    x = 213,444.24

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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.