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Finding the Fourth Proportional to 166,543.80, 249,815.70 and 149,047.80

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Solution

The fourth proportional to 166,543.80, 249,815.70 and 149,047.80 is: 223,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,543.80 : 249,815.70 = 149,047.80 : x
  2. Step 2: Convert to fraction form
    166,543.80/249,815.70 = 149,047.80/x
  3. Step 3: Cross multiply
    166,543.80x = 249,815.70 × 149,047.80
  4. Step 4: Simplify right side
    166,543.80x = 37,234,480,490.46
  5. Step 5: Solve for x
    x = 37,234,480,490.46/166,543.80
  6. Step 6: Final answer
    x = 223,571.70

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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.