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Finding the Fourth Proportional to 194,811.10, 292,216.65 and 110,830.30

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Solution

The fourth proportional to 194,811.10, 292,216.65 and 110,830.30 is: 166,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,811.10 : 292,216.65 = 110,830.30 : x
  2. Step 2: Convert to fraction form
    194,811.10/292,216.65 = 110,830.30/x
  3. Step 3: Cross multiply
    194,811.10x = 292,216.65 × 110,830.30
  4. Step 4: Simplify right side
    194,811.10x = 32,386,458,984.50
  5. Step 5: Solve for x
    x = 32,386,458,984.50/194,811.10
  6. Step 6: Final answer
    x = 166,245.45

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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.