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Finding the Fourth Proportional to 166,004, 249,008.16 and 55,196

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Solution

The fourth proportional to 166,004, 249,008.16 and 55,196 is: 82,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,004 : 249,008.16 = 55,196 : x
  2. Step 2: Convert to fraction form
    166,004/249,008.16 = 55,196/x
  3. Step 3: Cross multiply
    166,004x = 249,008.16 × 55,196
  4. Step 4: Simplify right side
    166,004x = 13,744,254,399.36
  5. Step 5: Solve for x
    x = 13,744,254,399.36/166,004
  6. Step 6: Final answer
    x = 82,794.72

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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.