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Finding the Fourth Proportional to 186,696.84, 257,656.92 and 106,149.64

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Solution

The fourth proportional to 186,696.84, 257,656.92 and 106,149.64 is: 146,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,696.84 : 257,656.92 = 106,149.64 : x
  2. Step 2: Convert to fraction form
    186,696.84/257,656.92 = 106,149.64/x
  3. Step 3: Cross multiply
    186,696.84x = 257,656.92 × 106,149.64
  4. Step 4: Simplify right side
    186,696.84x = 27,350,189,301.51
  5. Step 5: Solve for x
    x = 27,350,189,301.51/186,696.84
  6. Step 6: Final answer
    x = 146,495.19

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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.