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Finding the Fourth Proportional to 185,609, 256,140.60 and 100,726.08

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Solution

The fourth proportional to 185,609, 256,140.60 and 100,726.08 is: 139,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,609 : 256,140.60 = 100,726.08 : x
  2. Step 2: Convert to fraction form
    185,609/256,140.60 = 100,726.08/x
  3. Step 3: Cross multiply
    185,609x = 256,140.60 × 100,726.08
  4. Step 4: Simplify right side
    185,609x = 25,800,038,566.85
  5. Step 5: Solve for x
    x = 25,800,038,566.85/185,609
  6. Step 6: Final answer
    x = 139,002.09

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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.