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Finding the Fourth Proportional to 163,014, 224,959.94 and 95,077.89

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Solution

The fourth proportional to 163,014, 224,959.94 and 95,077.89 is: 131,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,014 : 224,959.94 = 95,077.89 : x
  2. Step 2: Convert to fraction form
    163,014/224,959.94 = 95,077.89/x
  3. Step 3: Cross multiply
    163,014x = 224,959.94 × 95,077.89
  4. Step 4: Simplify right side
    163,014x = 21,388,715,954.34
  5. Step 5: Solve for x
    x = 21,388,715,954.34/163,014
  6. Step 6: Final answer
    x = 131,207.85

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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.