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Finding the Fourth Proportional to 205,860, 284,094.48 and 116,434.08

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Solution

The fourth proportional to 205,860, 284,094.48 and 116,434.08 is: 160,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,860 : 284,094.48 = 116,434.08 : x
  2. Step 2: Convert to fraction form
    205,860/284,094.48 = 116,434.08/x
  3. Step 3: Cross multiply
    205,860x = 284,094.48 × 116,434.08
  4. Step 4: Simplify right side
    205,860x = 33,078,279,411.88
  5. Step 5: Solve for x
    x = 33,078,279,411.88/205,860
  6. Step 6: Final answer
    x = 160,683.37

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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.