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Finding the Fourth Proportional to 166,893, 230,312.34 and 91,443.24

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Solution

The fourth proportional to 166,893, 230,312.34 and 91,443.24 is: 126,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,893 : 230,312.34 = 91,443.24 : x
  2. Step 2: Convert to fraction form
    166,893/230,312.34 = 91,443.24/x
  3. Step 3: Cross multiply
    166,893x = 230,312.34 × 91,443.24
  4. Step 4: Simplify right side
    166,893x = 21,060,506,581.58
  5. Step 5: Solve for x
    x = 21,060,506,581.58/166,893
  6. Step 6: Final answer
    x = 126,191.67

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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.