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Finding the Fourth Proportional to 177,846.90, 266,978.70 and 140,432.19

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Solution

The fourth proportional to 177,846.90, 266,978.70 and 140,432.19 is: 210,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,846.90 : 266,978.70 = 140,432.19 : x
  2. Step 2: Convert to fraction form
    177,846.90/266,978.70 = 140,432.19/x
  3. Step 3: Cross multiply
    177,846.90x = 266,978.70 × 140,432.19
  4. Step 4: Simplify right side
    177,846.90x = 37,492,403,524.35
  5. Step 5: Solve for x
    x = 37,492,403,524.35/177,846.90
  6. Step 6: Final answer
    x = 210,812.80

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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.