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Finding the Fourth Proportional to 153,523.89, 211,857.12 and 85,539.38

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Solution

The fourth proportional to 153,523.89, 211,857.12 and 85,539.38 is: 118,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,523.89 : 211,857.12 = 85,539.38 : x
  2. Step 2: Convert to fraction form
    153,523.89/211,857.12 = 85,539.38/x
  3. Step 3: Cross multiply
    153,523.89x = 211,857.12 × 85,539.38
  4. Step 4: Simplify right side
    153,523.89x = 18,122,125,634.10
  5. Step 5: Solve for x
    x = 18,122,125,634.10/153,523.89
  6. Step 6: Final answer
    x = 118,041.08

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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.