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Finding the Fourth Proportional to 166,148.50, 249,222.75 and 49,412.50

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Solution

The fourth proportional to 166,148.50, 249,222.75 and 49,412.50 is: 74,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,148.50 : 249,222.75 = 49,412.50 : x
  2. Step 2: Convert to fraction form
    166,148.50/249,222.75 = 49,412.50/x
  3. Step 3: Cross multiply
    166,148.50x = 249,222.75 × 49,412.50
  4. Step 4: Simplify right side
    166,148.50x = 12,314,719,134.38
  5. Step 5: Solve for x
    x = 12,314,719,134.38/166,148.50
  6. Step 6: Final answer
    x = 74,118.75

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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.