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Finding the Fourth Proportional to 166,032, 249,086.88 and 55,224

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Solution

The fourth proportional to 166,032, 249,086.88 and 55,224 is: 82,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,032 : 249,086.88 = 55,224 : x
  2. Step 2: Convert to fraction form
    166,032/249,086.88 = 55,224/x
  3. Step 3: Cross multiply
    166,032x = 249,086.88 × 55,224
  4. Step 4: Simplify right side
    166,032x = 13,755,573,861.12
  5. Step 5: Solve for x
    x = 13,755,573,861.12/166,032
  6. Step 6: Final answer
    x = 82,848.93

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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.