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Finding the Fourth Proportional to 186,078.28, 256,782.54 and 105,513.16

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Solution

The fourth proportional to 186,078.28, 256,782.54 and 105,513.16 is: 145,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,078.28 : 256,782.54 = 105,513.16 : x
  2. Step 2: Convert to fraction form
    186,078.28/256,782.54 = 105,513.16/x
  3. Step 3: Cross multiply
    186,078.28x = 256,782.54 × 105,513.16
  4. Step 4: Simplify right side
    186,078.28x = 27,093,937,228.23
  5. Step 5: Solve for x
    x = 27,093,937,228.23/186,078.28
  6. Step 6: Final answer
    x = 145,605.05

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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.