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Finding the Fourth Proportional to 224,071.80, 336,167.10 and 97,657.80

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Solution

The fourth proportional to 224,071.80, 336,167.10 and 97,657.80 is: 146,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,071.80 : 336,167.10 = 97,657.80 : x
  2. Step 2: Convert to fraction form
    224,071.80/336,167.10 = 97,657.80/x
  3. Step 3: Cross multiply
    224,071.80x = 336,167.10 × 97,657.80
  4. Step 4: Simplify right side
    224,071.80x = 32,829,339,418.38
  5. Step 5: Solve for x
    x = 32,829,339,418.38/224,071.80
  6. Step 6: Final answer
    x = 146,512.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.