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Finding the Fourth Proportional to 281,205.90, 388,064.07 and 153,881.46

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Solution

The fourth proportional to 281,205.90, 388,064.07 and 153,881.46 is: 212,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,205.90 : 388,064.07 = 153,881.46 : x
  2. Step 2: Convert to fraction form
    281,205.90/388,064.07 = 153,881.46/x
  3. Step 3: Cross multiply
    281,205.90x = 388,064.07 × 153,881.46
  4. Step 4: Simplify right side
    281,205.90x = 59,715,865,665.14
  5. Step 5: Solve for x
    x = 59,715,865,665.14/281,205.90
  6. Step 6: Final answer
    x = 212,356.38

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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.