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Finding the Fourth Proportional to 144,794.64, 199,816.65 and 88,206.02

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Solution

The fourth proportional to 144,794.64, 199,816.65 and 88,206.02 is: 121,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,794.64 : 199,816.65 = 88,206.02 : x
  2. Step 2: Convert to fraction form
    144,794.64/199,816.65 = 88,206.02/x
  3. Step 3: Cross multiply
    144,794.64x = 199,816.65 × 88,206.02
  4. Step 4: Simplify right side
    144,794.64x = 17,625,030,427.15
  5. Step 5: Solve for x
    x = 17,625,030,427.15/144,794.64
  6. Step 6: Final answer
    x = 121,724.33

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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.