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Finding the Fourth Proportional to 194,764.80, 291,830.40 and 176,102.40

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Solution

The fourth proportional to 194,764.80, 291,830.40 and 176,102.40 is: 263,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,764.80 : 291,830.40 = 176,102.40 : x
  2. Step 2: Convert to fraction form
    194,764.80/291,830.40 = 176,102.40/x
  3. Step 3: Cross multiply
    194,764.80x = 291,830.40 × 176,102.40
  4. Step 4: Simplify right side
    194,764.80x = 51,392,033,832.96
  5. Step 5: Solve for x
    x = 51,392,033,832.96/194,764.80
  6. Step 6: Final answer
    x = 263,867.16

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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.