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Finding the Fourth Proportional to 114,567.90, 171,782.81 and 51,376.60

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Solution

The fourth proportional to 114,567.90, 171,782.81 and 51,376.60 is: 77,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,567.90 : 171,782.81 = 51,376.60 : x
  2. Step 2: Convert to fraction form
    114,567.90/171,782.81 = 51,376.60/x
  3. Step 3: Cross multiply
    114,567.90x = 171,782.81 × 51,376.60
  4. Step 4: Simplify right side
    114,567.90x = 8,825,616,415.23
  5. Step 5: Solve for x
    x = 8,825,616,415.23/114,567.90
  6. Step 6: Final answer
    x = 77,033.94

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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.