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Finding the Fourth Proportional to 153,864.09, 212,343.12 and 85,894.43

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Solution

The fourth proportional to 153,864.09, 212,343.12 and 85,894.43 is: 118,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,864.09 : 212,343.12 = 85,894.43 : x
  2. Step 2: Convert to fraction form
    153,864.09/212,343.12 = 85,894.43/x
  3. Step 3: Cross multiply
    153,864.09x = 212,343.12 × 85,894.43
  4. Step 4: Simplify right side
    153,864.09x = 18,239,090,195.11
  5. Step 5: Solve for x
    x = 18,239,090,195.11/153,864.09
  6. Step 6: Final answer
    x = 118,540.27

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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.