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Finding the Fourth Proportional to 200,762.83, 301,048.93 and 116,549.07

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Solution

The fourth proportional to 200,762.83, 301,048.93 and 116,549.07 is: 174,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,762.83 : 301,048.93 = 116,549.07 : x
  2. Step 2: Convert to fraction form
    200,762.83/301,048.93 = 116,549.07/x
  3. Step 3: Cross multiply
    200,762.83x = 301,048.93 × 116,549.07
  4. Step 4: Simplify right side
    200,762.83x = 35,086,972,816.00
  5. Step 5: Solve for x
    x = 35,086,972,816.00/200,762.83
  6. Step 6: Final answer
    x = 174,768.27

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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.