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Finding the Fourth Proportional to 229,686, 316,834.56 and 143,495.52

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Solution

The fourth proportional to 229,686, 316,834.56 and 143,495.52 is: 197,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,686 : 316,834.56 = 143,495.52 : x
  2. Step 2: Convert to fraction form
    229,686/316,834.56 = 143,495.52/x
  3. Step 3: Cross multiply
    229,686x = 316,834.56 × 143,495.52
  4. Step 4: Simplify right side
    229,686x = 45,464,339,941.17
  5. Step 5: Solve for x
    x = 45,464,339,941.17/229,686
  6. Step 6: Final answer
    x = 197,941.28

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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.