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Finding the Fourth Proportional to 160,727.96, 241,075.01 and 65,968.16

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Solution

The fourth proportional to 160,727.96, 241,075.01 and 65,968.16 is: 98,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,727.96 : 241,075.01 = 65,968.16 : x
  2. Step 2: Convert to fraction form
    160,727.96/241,075.01 = 65,968.16/x
  3. Step 3: Cross multiply
    160,727.96x = 241,075.01 × 65,968.16
  4. Step 4: Simplify right side
    160,727.96x = 15,903,273,791.23
  5. Step 5: Solve for x
    x = 15,903,273,791.23/160,727.96
  6. Step 6: Final answer
    x = 98,945.28

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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.