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Finding the Fourth Proportional to 186,436.16, 257,283.65 and 105,865.37

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Solution

The fourth proportional to 186,436.16, 257,283.65 and 105,865.37 is: 146,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,436.16 : 257,283.65 = 105,865.37 : x
  2. Step 2: Convert to fraction form
    186,436.16/257,283.65 = 105,865.37/x
  3. Step 3: Cross multiply
    186,436.16x = 257,283.65 × 105,865.37
  4. Step 4: Simplify right side
    186,436.16x = 27,237,428,745.26
  5. Step 5: Solve for x
    x = 27,237,428,745.26/186,436.16
  6. Step 6: Final answer
    x = 146,095.20

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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.