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Finding the Fourth Proportional to 136,465.75, 204,615.25 and 65,410.13

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Solution

The fourth proportional to 136,465.75, 204,615.25 and 65,410.13 is: 98,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,465.75 : 204,615.25 = 65,410.13 : x
  2. Step 2: Convert to fraction form
    136,465.75/204,615.25 = 65,410.13/x
  3. Step 3: Cross multiply
    136,465.75x = 204,615.25 × 65,410.13
  4. Step 4: Simplify right side
    136,465.75x = 13,383,909,775.43
  5. Step 5: Solve for x
    x = 13,383,909,775.43/136,465.75
  6. Step 6: Final answer
    x = 98,075.23

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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.