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Finding the Fourth Proportional to 144,765.05, 199,759.64 and 84,323.05

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Solution

The fourth proportional to 144,765.05, 199,759.64 and 84,323.05 is: 116,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,765.05 : 199,759.64 = 84,323.05 : x
  2. Step 2: Convert to fraction form
    144,765.05/199,759.64 = 84,323.05/x
  3. Step 3: Cross multiply
    144,765.05x = 199,759.64 × 84,323.05
  4. Step 4: Simplify right side
    144,765.05x = 16,844,342,111.70
  5. Step 5: Solve for x
    x = 16,844,342,111.70/144,765.05
  6. Step 6: Final answer
    x = 116,356.41

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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.