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Finding the Fourth Proportional to 229,142.62, 316,207.45 and 127,172.33

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Solution

The fourth proportional to 229,142.62, 316,207.45 and 127,172.33 is: 175,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,142.62 : 316,207.45 = 127,172.33 : x
  2. Step 2: Convert to fraction form
    229,142.62/316,207.45 = 127,172.33/x
  3. Step 3: Cross multiply
    229,142.62x = 316,207.45 × 127,172.33
  4. Step 4: Simplify right side
    229,142.62x = 40,212,837,228.22
  5. Step 5: Solve for x
    x = 40,212,837,228.22/229,142.62
  6. Step 6: Final answer
    x = 175,492.61

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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.