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Finding the Fourth Proportional to 277,395.43, 416,116.86 and 97,465.21

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Solution

The fourth proportional to 277,395.43, 416,116.86 and 97,465.21 is: 146,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,395.43 : 416,116.86 = 97,465.21 : x
  2. Step 2: Convert to fraction form
    277,395.43/416,116.86 = 97,465.21/x
  3. Step 3: Cross multiply
    277,395.43x = 416,116.86 × 97,465.21
  4. Step 4: Simplify right side
    277,395.43x = 40,556,917,144.44
  5. Step 5: Solve for x
    x = 40,556,917,144.44/277,395.43
  6. Step 6: Final answer
    x = 146,206.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.