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Finding the Fourth Proportional to 186,292.63, 257,083.86 and 101,410.33

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Solution

The fourth proportional to 186,292.63, 257,083.86 and 101,410.33 is: 139,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,292.63 : 257,083.86 = 101,410.33 : x
  2. Step 2: Convert to fraction form
    186,292.63/257,083.86 = 101,410.33/x
  3. Step 3: Cross multiply
    186,292.63x = 257,083.86 × 101,410.33
  4. Step 4: Simplify right side
    186,292.63x = 26,070,957,287.80
  5. Step 5: Solve for x
    x = 26,070,957,287.80/186,292.63
  6. Step 6: Final answer
    x = 139,946.27

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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.