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Finding the Fourth Proportional to 283,206, 424,809.03 and 116,998.32

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Solution

The fourth proportional to 283,206, 424,809.03 and 116,998.32 is: 175,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,206 : 424,809.03 = 116,998.32 : x
  2. Step 2: Convert to fraction form
    283,206/424,809.03 = 116,998.32/x
  3. Step 3: Cross multiply
    283,206x = 424,809.03 × 116,998.32
  4. Step 4: Simplify right side
    283,206x = 49,701,942,830.83
  5. Step 5: Solve for x
    x = 49,701,942,830.83/283,206
  6. Step 6: Final answer
    x = 175,497.49

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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.