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Finding the Fourth Proportional to 177,484.16, 266,180.88 and 52,796

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Solution

The fourth proportional to 177,484.16, 266,180.88 and 52,796 is: 79,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,484.16 : 266,180.88 = 52,796 : x
  2. Step 2: Convert to fraction form
    177,484.16/266,180.88 = 52,796/x
  3. Step 3: Cross multiply
    177,484.16x = 266,180.88 × 52,796
  4. Step 4: Simplify right side
    177,484.16x = 14,053,285,740.48
  5. Step 5: Solve for x
    x = 14,053,285,740.48/177,484.16
  6. Step 6: Final answer
    x = 79,180.51

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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.