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Finding the Fourth Proportional to 177,190.50, 265,829.49 and 52,531.50

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Solution

The fourth proportional to 177,190.50, 265,829.49 and 52,531.50 is: 78,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,190.50 : 265,829.49 = 52,531.50 : x
  2. Step 2: Convert to fraction form
    177,190.50/265,829.49 = 52,531.50/x
  3. Step 3: Cross multiply
    177,190.50x = 265,829.49 × 52,531.50
  4. Step 4: Simplify right side
    177,190.50x = 13,964,421,853.94
  5. Step 5: Solve for x
    x = 13,964,421,853.94/177,190.50
  6. Step 6: Final answer
    x = 78,810.22

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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.