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Finding the Fourth Proportional to 212,291.28, 292,959.81 and 116,798.04

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Solution

The fourth proportional to 212,291.28, 292,959.81 and 116,798.04 is: 161,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,291.28 : 292,959.81 = 116,798.04 : x
  2. Step 2: Convert to fraction form
    212,291.28/292,959.81 = 116,798.04/x
  3. Step 3: Cross multiply
    212,291.28x = 292,959.81 × 116,798.04
  4. Step 4: Simplify right side
    212,291.28x = 34,217,131,606.77
  5. Step 5: Solve for x
    x = 34,217,131,606.77/212,291.28
  6. Step 6: Final answer
    x = 161,180.11

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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.