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Finding the Fourth Proportional to 177,637.20, 266,455.80 and 52,978.20

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Solution

The fourth proportional to 177,637.20, 266,455.80 and 52,978.20 is: 79,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,637.20 : 266,455.80 = 52,978.20 : x
  2. Step 2: Convert to fraction form
    177,637.20/266,455.80 = 52,978.20/x
  3. Step 3: Cross multiply
    177,637.20x = 266,455.80 × 52,978.20
  4. Step 4: Simplify right side
    177,637.20x = 14,116,348,663.56
  5. Step 5: Solve for x
    x = 14,116,348,663.56/177,637.20
  6. Step 6: Final answer
    x = 79,467.30

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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.