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Finding the Fourth Proportional to 177,584.40, 266,149.80 and 72,284.40

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Solution

The fourth proportional to 177,584.40, 266,149.80 and 72,284.40 is: 108,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,584.40 : 266,149.80 = 72,284.40 : x
  2. Step 2: Convert to fraction form
    177,584.40/266,149.80 = 72,284.40/x
  3. Step 3: Cross multiply
    177,584.40x = 266,149.80 × 72,284.40
  4. Step 4: Simplify right side
    177,584.40x = 19,238,478,603.12
  5. Step 5: Solve for x
    x = 19,238,478,603.12/177,584.40
  6. Step 6: Final answer
    x = 108,334.28

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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.