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Finding the Fourth Proportional to 166,102.40, 249,193.28 and 53,782.74

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Solution

The fourth proportional to 166,102.40, 249,193.28 and 53,782.74 is: 80,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,102.40 : 249,193.28 = 53,782.74 : x
  2. Step 2: Convert to fraction form
    166,102.40/249,193.28 = 53,782.74/x
  3. Step 3: Cross multiply
    166,102.40x = 249,193.28 × 53,782.74
  4. Step 4: Simplify right side
    166,102.40x = 13,402,297,119.07
  5. Step 5: Solve for x
    x = 13,402,297,119.07/166,102.40
  6. Step 6: Final answer
    x = 80,686.96

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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.