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Finding the Fourth Proportional to 172,477, 238,018.20 and 97,025.50

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Solution

The fourth proportional to 172,477, 238,018.20 and 97,025.50 is: 133,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,477 : 238,018.20 = 97,025.50 : x
  2. Step 2: Convert to fraction form
    172,477/238,018.20 = 97,025.50/x
  3. Step 3: Cross multiply
    172,477x = 238,018.20 × 97,025.50
  4. Step 4: Simplify right side
    172,477x = 23,093,834,864.10
  5. Step 5: Solve for x
    x = 23,093,834,864.10/172,477
  6. Step 6: Final answer
    x = 133,895.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.