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Finding the Fourth Proportional to 232,114.80, 347,653.80 and 190,642.80

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Solution

The fourth proportional to 232,114.80, 347,653.80 and 190,642.80 is: 285,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,114.80 : 347,653.80 = 190,642.80 : x
  2. Step 2: Convert to fraction form
    232,114.80/347,653.80 = 190,642.80/x
  3. Step 3: Cross multiply
    232,114.80x = 347,653.80 × 190,642.80
  4. Step 4: Simplify right side
    232,114.80x = 66,277,693,862.64
  5. Step 5: Solve for x
    x = 66,277,693,862.64/232,114.80
  6. Step 6: Final answer
    x = 285,538.42

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1.5x scale

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.