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Finding the Fourth Proportional to 166,065.95, 249,140.64 and 47,737.50

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Solution

The fourth proportional to 166,065.95, 249,140.64 and 47,737.50 is: 71,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,065.95 : 249,140.64 = 47,737.50 : x
  2. Step 2: Convert to fraction form
    166,065.95/249,140.64 = 47,737.50/x
  3. Step 3: Cross multiply
    166,065.95x = 249,140.64 × 47,737.50
  4. Step 4: Simplify right side
    166,065.95x = 11,893,351,302
  5. Step 5: Solve for x
    x = 11,893,351,302/166,065.95
  6. Step 6: Final answer
    x = 71,618.24

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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.