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Finding the Fourth Proportional to 277,465.68, 382,902 and 150,141.20

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Solution

The fourth proportional to 277,465.68, 382,902 and 150,141.20 is: 207,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,465.68 : 382,902 = 150,141.20 : x
  2. Step 2: Convert to fraction form
    277,465.68/382,902 = 150,141.20/x
  3. Step 3: Cross multiply
    277,465.68x = 382,902 × 150,141.20
  4. Step 4: Simplify right side
    277,465.68x = 57,489,365,762.40
  5. Step 5: Solve for x
    x = 57,489,365,762.40/277,465.68
  6. Step 6: Final answer
    x = 207,194.51

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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.