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Finding the Fourth Proportional to 170,117.28, 255,167.28 and 51,786

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Solution

The fourth proportional to 170,117.28, 255,167.28 and 51,786 is: 77,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,117.28 : 255,167.28 = 51,786 : x
  2. Step 2: Convert to fraction form
    170,117.28/255,167.28 = 51,786/x
  3. Step 3: Cross multiply
    170,117.28x = 255,167.28 × 51,786
  4. Step 4: Simplify right side
    170,117.28x = 13,214,092,762.08
  5. Step 5: Solve for x
    x = 13,214,092,762.08/170,117.28
  6. Step 6: Final answer
    x = 77,676.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.