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Finding the Fourth Proportional to 186,870.50, 257,888.40 and 106,305.38

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Solution

The fourth proportional to 186,870.50, 257,888.40 and 106,305.38 is: 146,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,870.50 : 257,888.40 = 106,305.38 : x
  2. Step 2: Convert to fraction form
    186,870.50/257,888.40 = 106,305.38/x
  3. Step 3: Cross multiply
    186,870.50x = 257,888.40 × 106,305.38
  4. Step 4: Simplify right side
    186,870.50x = 27,414,924,359.59
  5. Step 5: Solve for x
    x = 27,414,924,359.59/186,870.50
  6. Step 6: Final answer
    x = 146,705.47

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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.