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Finding the Fourth Proportional to 219,096.50, 302,353.17 and 118,494.50

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Solution

The fourth proportional to 219,096.50, 302,353.17 and 118,494.50 is: 163,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,096.50 : 302,353.17 = 118,494.50 : x
  2. Step 2: Convert to fraction form
    219,096.50/302,353.17 = 118,494.50/x
  3. Step 3: Cross multiply
    219,096.50x = 302,353.17 × 118,494.50
  4. Step 4: Simplify right side
    219,096.50x = 35,827,187,702.57
  5. Step 5: Solve for x
    x = 35,827,187,702.57/219,096.50
  6. Step 6: Final answer
    x = 163,522.41

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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.