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Finding the Fourth Proportional to 166,584, 249,901.98 and 54,237.69

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Solution

The fourth proportional to 166,584, 249,901.98 and 54,237.69 is: 81,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,584 : 249,901.98 = 54,237.69 : x
  2. Step 2: Convert to fraction form
    166,584/249,901.98 = 54,237.69/x
  3. Step 3: Cross multiply
    166,584x = 249,901.98 × 54,237.69
  4. Step 4: Simplify right side
    166,584x = 13,554,106,121.63
  5. Step 5: Solve for x
    x = 13,554,106,121.63/166,584
  6. Step 6: Final answer
    x = 81,364.99

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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.