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Finding the Fourth Proportional to 185,341.50, 255,771.81 and 100,458.90

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Solution

The fourth proportional to 185,341.50, 255,771.81 and 100,458.90 is: 138,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,341.50 : 255,771.81 = 100,458.90 : x
  2. Step 2: Convert to fraction form
    185,341.50/255,771.81 = 100,458.90/x
  3. Step 3: Cross multiply
    185,341.50x = 255,771.81 × 100,458.90
  4. Step 4: Simplify right side
    185,341.50x = 25,694,554,683.61
  5. Step 5: Solve for x
    x = 25,694,554,683.61/185,341.50
  6. Step 6: Final answer
    x = 138,633.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.