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Finding the Fourth Proportional to 136,681.80, 205,022.70 and 114,563.40

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Solution

The fourth proportional to 136,681.80, 205,022.70 and 114,563.40 is: 171,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,681.80 : 205,022.70 = 114,563.40 : x
  2. Step 2: Convert to fraction form
    136,681.80/205,022.70 = 114,563.40/x
  3. Step 3: Cross multiply
    136,681.80x = 205,022.70 × 114,563.40
  4. Step 4: Simplify right side
    136,681.80x = 23,488,097,589.18
  5. Step 5: Solve for x
    x = 23,488,097,589.18/136,681.80
  6. Step 6: Final answer
    x = 171,845.10

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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.