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Finding the Fourth Proportional to 177,684.84, 266,632.26 and 65,443.92

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Solution

The fourth proportional to 177,684.84, 266,632.26 and 65,443.92 is: 98,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,684.84 : 266,632.26 = 65,443.92 : x
  2. Step 2: Convert to fraction form
    177,684.84/266,632.26 = 65,443.92/x
  3. Step 3: Cross multiply
    177,684.84x = 266,632.26 × 65,443.92
  4. Step 4: Simplify right side
    177,684.84x = 17,449,460,292.86
  5. Step 5: Solve for x
    x = 17,449,460,292.86/177,684.84
  6. Step 6: Final answer
    x = 98,204.55

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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.