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Finding the Fourth Proportional to 186,578.32, 257,485.04 and 106,019.52

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Solution

The fourth proportional to 186,578.32, 257,485.04 and 106,019.52 is: 146,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,578.32 : 257,485.04 = 106,019.52 : x
  2. Step 2: Convert to fraction form
    186,578.32/257,485.04 = 106,019.52/x
  3. Step 3: Cross multiply
    186,578.32x = 257,485.04 × 106,019.52
  4. Step 4: Simplify right side
    186,578.32x = 27,298,440,347.98
  5. Step 5: Solve for x
    x = 27,298,440,347.98/186,578.32
  6. Step 6: Final answer
    x = 146,310.89

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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.