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Finding the Fourth Proportional to 172,663.98, 238,221.45 and 97,197.90

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Solution

The fourth proportional to 172,663.98, 238,221.45 and 97,197.90 is: 134,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,663.98 : 238,221.45 = 97,197.90 : x
  2. Step 2: Convert to fraction form
    172,663.98/238,221.45 = 97,197.90/x
  3. Step 3: Cross multiply
    172,663.98x = 238,221.45 × 97,197.90
  4. Step 4: Simplify right side
    172,663.98x = 23,154,624,674.96
  5. Step 5: Solve for x
    x = 23,154,624,674.96/172,663.98
  6. Step 6: Final answer
    x = 134,102.23

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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.