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Finding the Fourth Proportional to 166,565.20, 249,847.80 and 143,237.20

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Solution

The fourth proportional to 166,565.20, 249,847.80 and 143,237.20 is: 214,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,565.20 : 249,847.80 = 143,237.20 : x
  2. Step 2: Convert to fraction form
    166,565.20/249,847.80 = 143,237.20/x
  3. Step 3: Cross multiply
    166,565.20x = 249,847.80 × 143,237.20
  4. Step 4: Simplify right side
    166,565.20x = 35,787,499,298.16
  5. Step 5: Solve for x
    x = 35,787,499,298.16/166,565.20
  6. Step 6: Final answer
    x = 214,855.80

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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.