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Finding the Fourth Proportional to 186,693.42, 257,631.38 and 106,129.74

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Solution

The fourth proportional to 186,693.42, 257,631.38 and 106,129.74 is: 146,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,693.42 : 257,631.38 = 106,129.74 : x
  2. Step 2: Convert to fraction form
    186,693.42/257,631.38 = 106,129.74/x
  3. Step 3: Cross multiply
    186,693.42x = 257,631.38 × 106,129.74
  4. Step 4: Simplify right side
    186,693.42x = 27,342,351,375.24
  5. Step 5: Solve for x
    x = 27,342,351,375.24/186,693.42
  6. Step 6: Final answer
    x = 146,455.89

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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.