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Finding the Fourth Proportional to 153,447.33, 211,748.96 and 84,523.38

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Solution

The fourth proportional to 153,447.33, 211,748.96 and 84,523.38 is: 116,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,447.33 : 211,748.96 = 84,523.38 : x
  2. Step 2: Convert to fraction form
    153,447.33/211,748.96 = 84,523.38/x
  3. Step 3: Cross multiply
    153,447.33x = 211,748.96 × 84,523.38
  4. Step 4: Simplify right side
    153,447.33x = 17,897,737,388.07
  5. Step 5: Solve for x
    x = 17,897,737,388.07/153,447.33
  6. Step 6: Final answer
    x = 116,637.66

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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.