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Finding the Fourth Proportional to 193,643.60, 290,465.40 and 122,622.80

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Solution

The fourth proportional to 193,643.60, 290,465.40 and 122,622.80 is: 183,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,643.60 : 290,465.40 = 122,622.80 : x
  2. Step 2: Convert to fraction form
    193,643.60/290,465.40 = 122,622.80/x
  3. Step 3: Cross multiply
    193,643.60x = 290,465.40 × 122,622.80
  4. Step 4: Simplify right side
    193,643.60x = 35,617,680,651.12
  5. Step 5: Solve for x
    x = 35,617,680,651.12/193,643.60
  6. Step 6: Final answer
    x = 183,934.20

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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.