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Finding the Fourth Proportional to 115,999.63, 160,090.73 and 65,021.02

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Solution

The fourth proportional to 115,999.63, 160,090.73 and 65,021.02 is: 89,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,999.63 : 160,090.73 = 65,021.02 : x
  2. Step 2: Convert to fraction form
    115,999.63/160,090.73 = 65,021.02/x
  3. Step 3: Cross multiply
    115,999.63x = 160,090.73 × 65,021.02
  4. Step 4: Simplify right side
    115,999.63x = 10,409,262,232.04
  5. Step 5: Solve for x
    x = 10,409,262,232.04/115,999.63
  6. Step 6: Final answer
    x = 89,735.31

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1.5x scale

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.