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Finding the Fourth Proportional to 166,429, 229,672.84 and 90,977.50

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Solution

The fourth proportional to 166,429, 229,672.84 and 90,977.50 is: 125,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,429 : 229,672.84 = 90,977.50 : x
  2. Step 2: Convert to fraction form
    166,429/229,672.84 = 90,977.50/x
  3. Step 3: Cross multiply
    166,429x = 229,672.84 × 90,977.50
  4. Step 4: Simplify right side
    166,429x = 20,895,060,801.10
  5. Step 5: Solve for x
    x = 20,895,060,801.10/166,429
  6. Step 6: Final answer
    x = 125,549.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.