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Finding the Fourth Proportional to 116,471.48, 174,702.30 and 53,255

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Solution

The fourth proportional to 116,471.48, 174,702.30 and 53,255 is: 79,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,471.48 : 174,702.30 = 53,255 : x
  2. Step 2: Convert to fraction form
    116,471.48/174,702.30 = 53,255/x
  3. Step 3: Cross multiply
    116,471.48x = 174,702.30 × 53,255
  4. Step 4: Simplify right side
    116,471.48x = 9,303,770,986.50
  5. Step 5: Solve for x
    x = 9,303,770,986.50/116,471.48
  6. Step 6: Final answer
    x = 79,880.25

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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.