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Finding the Fourth Proportional to 186,884.81, 280,040.16 and 126,835.25

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Solution

The fourth proportional to 186,884.81, 280,040.16 and 126,835.25 is: 190,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,884.81 : 280,040.16 = 126,835.25 : x
  2. Step 2: Convert to fraction form
    186,884.81/280,040.16 = 126,835.25/x
  3. Step 3: Cross multiply
    186,884.81x = 280,040.16 × 126,835.25
  4. Step 4: Simplify right side
    186,884.81x = 35,518,962,303.44
  5. Step 5: Solve for x
    x = 35,518,962,303.44/186,884.81
  6. Step 6: Final answer
    x = 190,058.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.