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Finding the Fourth Proportional to 186,055.68, 256,735.45 and 105,467.16

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Solution

The fourth proportional to 186,055.68, 256,735.45 and 105,467.16 is: 145,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,055.68 : 256,735.45 = 105,467.16 : x
  2. Step 2: Convert to fraction form
    186,055.68/256,735.45 = 105,467.16/x
  3. Step 3: Cross multiply
    186,055.68x = 256,735.45 × 105,467.16
  4. Step 4: Simplify right side
    186,055.68x = 27,077,158,782.82
  5. Step 5: Solve for x
    x = 27,077,158,782.82/186,055.68
  6. Step 6: Final answer
    x = 145,532.56

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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.