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Finding the Fourth Proportional to 211,859, 292,360.38 and 116,365.40

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Solution

The fourth proportional to 211,859, 292,360.38 and 116,365.40 is: 160,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,859 : 292,360.38 = 116,365.40 : x
  2. Step 2: Convert to fraction form
    211,859/292,360.38 = 116,365.40/x
  3. Step 3: Cross multiply
    211,859x = 292,360.38 × 116,365.40
  4. Step 4: Simplify right side
    211,859x = 34,020,632,562.85
  5. Step 5: Solve for x
    x = 34,020,632,562.85/211,859
  6. Step 6: Final answer
    x = 160,581.48

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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.