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Finding the Fourth Proportional to 186,090.57, 256,810.41 and 114,512.49

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Solution

The fourth proportional to 186,090.57, 256,810.41 and 114,512.49 is: 158,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,090.57 : 256,810.41 = 114,512.49 : x
  2. Step 2: Convert to fraction form
    186,090.57/256,810.41 = 114,512.49/x
  3. Step 3: Cross multiply
    186,090.57x = 256,810.41 × 114,512.49
  4. Step 4: Simplify right side
    186,090.57x = 29,407,999,507.02
  5. Step 5: Solve for x
    x = 29,407,999,507.02/186,090.57
  6. Step 6: Final answer
    x = 158,030.57

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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.