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Finding the Fourth Proportional to 186,300, 257,158.80 and 110,846.88

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Solution

The fourth proportional to 186,300, 257,158.80 and 110,846.88 is: 153,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,300 : 257,158.80 = 110,846.88 : x
  2. Step 2: Convert to fraction form
    186,300/257,158.80 = 110,846.88/x
  3. Step 3: Cross multiply
    186,300x = 257,158.80 × 110,846.88
  4. Step 4: Simplify right side
    186,300x = 28,505,250,644.54
  5. Step 5: Solve for x
    x = 28,505,250,644.54/186,300
  6. Step 6: Final answer
    x = 153,007.25

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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.