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Finding the Fourth Proportional to 255,605.40, 352,727.60 and 160,164.72

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Solution

The fourth proportional to 255,605.40, 352,727.60 and 160,164.72 is: 221,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,605.40 : 352,727.60 = 160,164.72 : x
  2. Step 2: Convert to fraction form
    255,605.40/352,727.60 = 160,164.72/x
  3. Step 3: Cross multiply
    255,605.40x = 352,727.60 × 160,164.72
  4. Step 4: Simplify right side
    255,605.40x = 56,494,516,489.45
  5. Step 5: Solve for x
    x = 56,494,516,489.45/255,605.40
  6. Step 6: Final answer
    x = 221,022.39

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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.