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Finding the Fourth Proportional to 186,226.34, 256,998.17 and 105,657.26

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Solution

The fourth proportional to 186,226.34, 256,998.17 and 105,657.26 is: 145,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,226.34 : 256,998.17 = 105,657.26 : x
  2. Step 2: Convert to fraction form
    186,226.34/256,998.17 = 105,657.26/x
  3. Step 3: Cross multiply
    186,226.34x = 256,998.17 × 105,657.26
  4. Step 4: Simplify right side
    186,226.34x = 27,153,721,446.37
  5. Step 5: Solve for x
    x = 27,153,721,446.37/186,226.34
  6. Step 6: Final answer
    x = 145,810.32

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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.