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Finding the Fourth Proportional to 186,633, 257,553.54 and 119,565

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Solution

The fourth proportional to 186,633, 257,553.54 and 119,565 is: 164,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,633 : 257,553.54 = 119,565 : x
  2. Step 2: Convert to fraction form
    186,633/257,553.54 = 119,565/x
  3. Step 3: Cross multiply
    186,633x = 257,553.54 × 119,565
  4. Step 4: Simplify right side
    186,633x = 30,794,389,010.10
  5. Step 5: Solve for x
    x = 30,794,389,010.10/186,633
  6. Step 6: Final answer
    x = 164,999.70

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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.