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Finding the Fourth Proportional to 177,952.74, 245,574.80 and 97,380.27

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Solution

The fourth proportional to 177,952.74, 245,574.80 and 97,380.27 is: 134,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,952.74 : 245,574.80 = 97,380.27 : x
  2. Step 2: Convert to fraction form
    177,952.74/245,574.80 = 97,380.27/x
  3. Step 3: Cross multiply
    177,952.74x = 245,574.80 × 97,380.27
  4. Step 4: Simplify right side
    177,952.74x = 23,914,140,329.20
  5. Step 5: Solve for x
    x = 23,914,140,329.20/177,952.74
  6. Step 6: Final answer
    x = 134,384.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.