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Finding the Fourth Proportional to 153,171.86, 211,377.33 and 85,187.16

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Solution

The fourth proportional to 153,171.86, 211,377.33 and 85,187.16 is: 117,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,171.86 : 211,377.33 = 85,187.16 : x
  2. Step 2: Convert to fraction form
    153,171.86/211,377.33 = 85,187.16/x
  3. Step 3: Cross multiply
    153,171.86x = 211,377.33 × 85,187.16
  4. Step 4: Simplify right side
    153,171.86x = 18,006,634,431.08
  5. Step 5: Solve for x
    x = 18,006,634,431.08/153,171.86
  6. Step 6: Final answer
    x = 117,558.38

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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.