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Finding the Fourth Proportional to 202,174.02, 278,909.94 and 117,241.86

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Solution

The fourth proportional to 202,174.02, 278,909.94 and 117,241.86 is: 161,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,174.02 : 278,909.94 = 117,241.86 : x
  2. Step 2: Convert to fraction form
    202,174.02/278,909.94 = 117,241.86/x
  3. Step 3: Cross multiply
    202,174.02x = 278,909.94 × 117,241.86
  4. Step 4: Simplify right side
    202,174.02x = 32,699,920,138.09
  5. Step 5: Solve for x
    x = 32,699,920,138.09/202,174.02
  6. Step 6: Final answer
    x = 161,741.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.