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Finding the Fourth Proportional to 166,585, 249,903.48 and 54,238.69

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Solution

The fourth proportional to 166,585, 249,903.48 and 54,238.69 is: 81,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,585 : 249,903.48 = 54,238.69 : x
  2. Step 2: Convert to fraction form
    166,585/249,903.48 = 54,238.69/x
  3. Step 3: Cross multiply
    166,585x = 249,903.48 × 54,238.69
  4. Step 4: Simplify right side
    166,585x = 13,554,437,381.64
  5. Step 5: Solve for x
    x = 13,554,437,381.64/166,585
  6. Step 6: Final answer
    x = 81,366.49

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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.