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Finding the Fourth Proportional to 211,751.65, 292,217.85 and 116,264.53

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Solution

The fourth proportional to 211,751.65, 292,217.85 and 116,264.53 is: 160,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,751.65 : 292,217.85 = 116,264.53 : x
  2. Step 2: Convert to fraction form
    211,751.65/292,217.85 = 116,264.53/x
  3. Step 3: Cross multiply
    211,751.65x = 292,217.85 × 116,264.53
  4. Step 4: Simplify right side
    211,751.65x = 33,974,568,945.45
  5. Step 5: Solve for x
    x = 33,974,568,945.45/211,751.65
  6. Step 6: Final answer
    x = 160,445.36

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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.