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Finding the Fourth Proportional to 229,292.75, 316,424 and 128,690.75

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Solution

The fourth proportional to 229,292.75, 316,424 and 128,690.75 is: 177,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,292.75 : 316,424 = 128,690.75 : x
  2. Step 2: Convert to fraction form
    229,292.75/316,424 = 128,690.75/x
  3. Step 3: Cross multiply
    229,292.75x = 316,424 × 128,690.75
  4. Step 4: Simplify right side
    229,292.75x = 40,720,841,878
  5. Step 5: Solve for x
    x = 40,720,841,878/229,292.75
  6. Step 6: Final answer
    x = 177,593.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.