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Finding the Fourth Proportional to 166,292.80, 249,439.20 and 116,429.20

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Solution

The fourth proportional to 166,292.80, 249,439.20 and 116,429.20 is: 174,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,292.80 : 249,439.20 = 116,429.20 : x
  2. Step 2: Convert to fraction form
    166,292.80/249,439.20 = 116,429.20/x
  3. Step 3: Cross multiply
    166,292.80x = 249,439.20 × 116,429.20
  4. Step 4: Simplify right side
    166,292.80x = 29,042,006,504.64
  5. Step 5: Solve for x
    x = 29,042,006,504.64/166,292.80
  6. Step 6: Final answer
    x = 174,643.80

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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.