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Finding the Fourth Proportional to 172,634.08, 238,308.76 and 116,078.24

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Solution

The fourth proportional to 172,634.08, 238,308.76 and 116,078.24 is: 160,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,634.08 : 238,308.76 = 116,078.24 : x
  2. Step 2: Convert to fraction form
    172,634.08/238,308.76 = 116,078.24/x
  3. Step 3: Cross multiply
    172,634.08x = 238,308.76 × 116,078.24
  4. Step 4: Simplify right side
    172,634.08x = 27,662,461,437.38
  5. Step 5: Solve for x
    x = 27,662,461,437.38/172,634.08
  6. Step 6: Final answer
    x = 160,237.55

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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.