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Finding the Fourth Proportional to 114,567.10, 171,505.05 and 100,743.10

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Solution

The fourth proportional to 114,567.10, 171,505.05 and 100,743.10 is: 150,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,567.10 : 171,505.05 = 100,743.10 : x
  2. Step 2: Convert to fraction form
    114,567.10/171,505.05 = 100,743.10/x
  3. Step 3: Cross multiply
    114,567.10x = 171,505.05 × 100,743.10
  4. Step 4: Simplify right side
    114,567.10x = 17,277,950,402.66
  5. Step 5: Solve for x
    x = 17,277,950,402.66/114,567.10
  6. Step 6: Final answer
    x = 150,810.75

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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.