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Finding the Fourth Proportional to 186,489, 257,351.55 and 101,606.66

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Solution

The fourth proportional to 186,489, 257,351.55 and 101,606.66 is: 140,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,489 : 257,351.55 = 101,606.66 : x
  2. Step 2: Convert to fraction form
    186,489/257,351.55 = 101,606.66/x
  3. Step 3: Cross multiply
    186,489x = 257,351.55 × 101,606.66
  4. Step 4: Simplify right side
    186,489x = 26,148,631,441.32
  5. Step 5: Solve for x
    x = 26,148,631,441.32/186,489
  6. Step 6: Final answer
    x = 140,215.41

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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.