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Finding the Fourth Proportional to 133,796, 200,707.44 and 35,300

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Solution

The fourth proportional to 133,796, 200,707.44 and 35,300 is: 52,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,796 : 200,707.44 = 35,300 : x
  2. Step 2: Convert to fraction form
    133,796/200,707.44 = 35,300/x
  3. Step 3: Cross multiply
    133,796x = 200,707.44 × 35,300
  4. Step 4: Simplify right side
    133,796x = 7,084,972,632
  5. Step 5: Solve for x
    x = 7,084,972,632/133,796
  6. Step 6: Final answer
    x = 52,953.55

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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.