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Finding the Fourth Proportional to 186,352.36, 257,224.29 and 105,833.50

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Solution

The fourth proportional to 186,352.36, 257,224.29 and 105,833.50 is: 146,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,352.36 : 257,224.29 = 105,833.50 : x
  2. Step 2: Convert to fraction form
    186,352.36/257,224.29 = 105,833.50/x
  3. Step 3: Cross multiply
    186,352.36x = 257,224.29 × 105,833.50
  4. Step 4: Simplify right side
    186,352.36x = 27,222,946,895.72
  5. Step 5: Solve for x
    x = 27,222,946,895.72/186,352.36
  6. Step 6: Final answer
    x = 146,083.19

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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.