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Finding the Fourth Proportional to 170,564.63, 235,351.44 and 102,565.26

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Solution

The fourth proportional to 170,564.63, 235,351.44 and 102,565.26 is: 141,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,564.63 : 235,351.44 = 102,565.26 : x
  2. Step 2: Convert to fraction form
    170,564.63/235,351.44 = 102,565.26/x
  3. Step 3: Cross multiply
    170,564.63x = 235,351.44 × 102,565.26
  4. Step 4: Simplify right side
    170,564.63x = 24,138,881,634.97
  5. Step 5: Solve for x
    x = 24,138,881,634.97/170,564.63
  6. Step 6: Final answer
    x = 141,523.38

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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.