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Finding the Fourth Proportional to 170,159.86, 255,276.69 and 51,828.10

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Solution

The fourth proportional to 170,159.86, 255,276.69 and 51,828.10 is: 77,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,159.86 : 255,276.69 = 51,828.10 : x
  2. Step 2: Convert to fraction form
    170,159.86/255,276.69 = 51,828.10/x
  3. Step 3: Cross multiply
    170,159.86x = 255,276.69 × 51,828.10
  4. Step 4: Simplify right side
    170,159.86x = 13,230,505,816.99
  5. Step 5: Solve for x
    x = 13,230,505,816.99/170,159.86
  6. Step 6: Final answer
    x = 77,753.39

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Why These Related Problems?

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