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Finding the Fourth Proportional to 186,339.36, 257,150.16 and 106,836

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Solution

The fourth proportional to 186,339.36, 257,150.16 and 106,836 is: 147,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,339.36 : 257,150.16 = 106,836 : x
  2. Step 2: Convert to fraction form
    186,339.36/257,150.16 = 106,836/x
  3. Step 3: Cross multiply
    186,339.36x = 257,150.16 × 106,836
  4. Step 4: Simplify right side
    186,339.36x = 27,472,894,493.76
  5. Step 5: Solve for x
    x = 27,472,894,493.76/186,339.36
  6. Step 6: Final answer
    x = 147,434.74

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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.