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Finding the Fourth Proportional to 166,000, 249,002.16 and 55,192

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Solution

The fourth proportional to 166,000, 249,002.16 and 55,192 is: 82,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,000 : 249,002.16 = 55,192 : x
  2. Step 2: Convert to fraction form
    166,000/249,002.16 = 55,192/x
  3. Step 3: Cross multiply
    166,000x = 249,002.16 × 55,192
  4. Step 4: Simplify right side
    166,000x = 13,742,927,214.72
  5. Step 5: Solve for x
    x = 13,742,927,214.72/166,000
  6. Step 6: Final answer
    x = 82,788.72

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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.