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Finding the Fourth Proportional to 166,348.20, 249,653.34 and 77,556

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Solution

The fourth proportional to 166,348.20, 249,653.34 and 77,556 is: 116,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,348.20 : 249,653.34 = 77,556 : x
  2. Step 2: Convert to fraction form
    166,348.20/249,653.34 = 77,556/x
  3. Step 3: Cross multiply
    166,348.20x = 249,653.34 × 77,556
  4. Step 4: Simplify right side
    166,348.20x = 19,362,114,437.04
  5. Step 5: Solve for x
    x = 19,362,114,437.04/166,348.20
  6. Step 6: Final answer
    x = 116,395.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.