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Finding the Fourth Proportional to 229,807.10, 317,097.16 and 139,147.58

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Solution

The fourth proportional to 229,807.10, 317,097.16 and 139,147.58 is: 192,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,807.10 : 317,097.16 = 139,147.58 : x
  2. Step 2: Convert to fraction form
    229,807.10/317,097.16 = 139,147.58/x
  3. Step 3: Cross multiply
    229,807.10x = 317,097.16 × 139,147.58
  4. Step 4: Simplify right side
    229,807.10x = 44,123,300,505.52
  5. Step 5: Solve for x
    x = 44,123,300,505.52/229,807.10
  6. Step 6: Final answer
    x = 192,001.47

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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.