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Finding the Fourth Proportional to 166,526.54, 249,689.76 and 76,456.54

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Solution

The fourth proportional to 166,526.54, 249,689.76 and 76,456.54 is: 114,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,526.54 : 249,689.76 = 76,456.54 : x
  2. Step 2: Convert to fraction form
    166,526.54/249,689.76 = 76,456.54/x
  3. Step 3: Cross multiply
    166,526.54x = 249,689.76 × 76,456.54
  4. Step 4: Simplify right side
    166,526.54x = 19,090,415,123.03
  5. Step 5: Solve for x
    x = 19,090,415,123.03/166,526.54
  6. Step 6: Final answer
    x = 114,638.87

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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.