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Finding the Fourth Proportional to 186,868.50, 257,885.64 and 106,303.38

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Solution

The fourth proportional to 186,868.50, 257,885.64 and 106,303.38 is: 146,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,868.50 : 257,885.64 = 106,303.38 : x
  2. Step 2: Convert to fraction form
    186,868.50/257,885.64 = 106,303.38/x
  3. Step 3: Cross multiply
    186,868.50x = 257,885.64 × 106,303.38
  4. Step 4: Simplify right side
    186,868.50x = 27,414,115,185.46
  5. Step 5: Solve for x
    x = 27,414,115,185.46/186,868.50
  6. Step 6: Final answer
    x = 146,702.71

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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.