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Finding the Fourth Proportional to 166,543.32, 249,814.80 and 41,884.32

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Solution

The fourth proportional to 166,543.32, 249,814.80 and 41,884.32 is: 62,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,543.32 : 249,814.80 = 41,884.32 : x
  2. Step 2: Convert to fraction form
    166,543.32/249,814.80 = 41,884.32/x
  3. Step 3: Cross multiply
    166,543.32x = 249,814.80 × 41,884.32
  4. Step 4: Simplify right side
    166,543.32x = 10,463,323,023.94
  5. Step 5: Solve for x
    x = 10,463,323,023.94/166,543.32
  6. Step 6: Final answer
    x = 62,826.43

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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.