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Finding the Fourth Proportional to 186,398.36, 257,237 and 105,833.38

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Solution

The fourth proportional to 186,398.36, 257,237 and 105,833.38 is: 146,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,398.36 : 257,237 = 105,833.38 : x
  2. Step 2: Convert to fraction form
    186,398.36/257,237 = 105,833.38/x
  3. Step 3: Cross multiply
    186,398.36x = 257,237 × 105,833.38
  4. Step 4: Simplify right side
    186,398.36x = 27,224,261,171.06
  5. Step 5: Solve for x
    x = 27,224,261,171.06/186,398.36
  6. Step 6: Final answer
    x = 146,054.19

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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.