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Finding the Fourth Proportional to 177,220.16, 265,784.84 and 52,532

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Solution

The fourth proportional to 177,220.16, 265,784.84 and 52,532 is: 78,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,220.16 : 265,784.84 = 52,532 : x
  2. Step 2: Convert to fraction form
    177,220.16/265,784.84 = 52,532/x
  3. Step 3: Cross multiply
    177,220.16x = 265,784.84 × 52,532
  4. Step 4: Simplify right side
    177,220.16x = 13,962,209,214.88
  5. Step 5: Solve for x
    x = 13,962,209,214.88/177,220.16
  6. Step 6: Final answer
    x = 78,784.54

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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.