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Finding the Fourth Proportional to 186,200.36, 256,957.64 and 101,317.96

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Solution

The fourth proportional to 186,200.36, 256,957.64 and 101,317.96 is: 139,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,200.36 : 256,957.64 = 101,317.96 : x
  2. Step 2: Convert to fraction form
    186,200.36/256,957.64 = 101,317.96/x
  3. Step 3: Cross multiply
    186,200.36x = 256,957.64 × 101,317.96
  4. Step 4: Simplify right side
    186,200.36x = 26,034,423,891.21
  5. Step 5: Solve for x
    x = 26,034,423,891.21/186,200.36
  6. Step 6: Final answer
    x = 139,819.41

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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.