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Finding the Fourth Proportional to 177,794.32, 245,382.12 and 117,354.64

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Solution

The fourth proportional to 177,794.32, 245,382.12 and 117,354.64 is: 161,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,794.32 : 245,382.12 = 117,354.64 : x
  2. Step 2: Convert to fraction form
    177,794.32/245,382.12 = 117,354.64/x
  3. Step 3: Cross multiply
    177,794.32x = 245,382.12 × 117,354.64
  4. Step 4: Simplify right side
    177,794.32x = 28,796,730,355.04
  5. Step 5: Solve for x
    x = 28,796,730,355.04/177,794.32
  6. Step 6: Final answer
    x = 161,966.54

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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.