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Finding the Fourth Proportional to 173,410, 239,325.24 and 97,963.36

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Solution

The fourth proportional to 173,410, 239,325.24 and 97,963.36 is: 135,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,410 : 239,325.24 = 97,963.36 : x
  2. Step 2: Convert to fraction form
    173,410/239,325.24 = 97,963.36/x
  3. Step 3: Cross multiply
    173,410x = 239,325.24 × 97,963.36
  4. Step 4: Simplify right side
    173,410x = 23,445,104,643.21
  5. Step 5: Solve for x
    x = 23,445,104,643.21/173,410
  6. Step 6: Final answer
    x = 135,200.42

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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.