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Finding the Fourth Proportional to 173,106, 238,887.36 and 106,038

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Solution

The fourth proportional to 173,106, 238,887.36 and 106,038 is: 146,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,106 : 238,887.36 = 106,038 : x
  2. Step 2: Convert to fraction form
    173,106/238,887.36 = 106,038/x
  3. Step 3: Cross multiply
    173,106x = 238,887.36 × 106,038
  4. Step 4: Simplify right side
    173,106x = 25,331,137,879.68
  5. Step 5: Solve for x
    x = 25,331,137,879.68/173,106
  6. Step 6: Final answer
    x = 146,333.10

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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.