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Finding the Fourth Proportional to 172,969.02, 238,696.84 and 97,516.98

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Solution

The fourth proportional to 172,969.02, 238,696.84 and 97,516.98 is: 134,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,969.02 : 238,696.84 = 97,516.98 : x
  2. Step 2: Convert to fraction form
    172,969.02/238,696.84 = 97,516.98/x
  3. Step 3: Cross multiply
    172,969.02x = 238,696.84 × 97,516.98
  4. Step 4: Simplify right side
    172,969.02x = 23,276,994,972.34
  5. Step 5: Solve for x
    x = 23,276,994,972.34/172,969.02
  6. Step 6: Final answer
    x = 134,573.20

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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.