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Finding the Fourth Proportional to 166,034.30, 249,024.72 and 47,678.72

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Solution

The fourth proportional to 166,034.30, 249,024.72 and 47,678.72 is: 71,510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,034.30 : 249,024.72 = 47,678.72 : x
  2. Step 2: Convert to fraction form
    166,034.30/249,024.72 = 47,678.72/x
  3. Step 3: Cross multiply
    166,034.30x = 249,024.72 × 47,678.72
  4. Step 4: Simplify right side
    166,034.30x = 11,873,179,897.96
  5. Step 5: Solve for x
    x = 11,873,179,897.96/166,034.30
  6. Step 6: Final answer
    x = 71,510.40

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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.