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Finding the Fourth Proportional to 194,250.30, 291,202.65 and 115,280.70

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Solution

The fourth proportional to 194,250.30, 291,202.65 and 115,280.70 is: 172,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,250.30 : 291,202.65 = 115,280.70 : x
  2. Step 2: Convert to fraction form
    194,250.30/291,202.65 = 115,280.70/x
  3. Step 3: Cross multiply
    194,250.30x = 291,202.65 × 115,280.70
  4. Step 4: Simplify right side
    194,250.30x = 33,570,045,333.86
  5. Step 5: Solve for x
    x = 33,570,045,333.86/194,250.30
  6. Step 6: Final answer
    x = 172,818.50

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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.