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Finding the Fourth Proportional to 166,268.88, 249,440.76 and 55,458

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Solution

The fourth proportional to 166,268.88, 249,440.76 and 55,458 is: 83,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,268.88 : 249,440.76 = 55,458 : x
  2. Step 2: Convert to fraction form
    166,268.88/249,440.76 = 55,458/x
  3. Step 3: Cross multiply
    166,268.88x = 249,440.76 × 55,458
  4. Step 4: Simplify right side
    166,268.88x = 13,833,485,668.08
  5. Step 5: Solve for x
    x = 13,833,485,668.08/166,268.88
  6. Step 6: Final answer
    x = 83,199.49

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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.