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Finding the Fourth Proportional to 173,005.97, 259,384.40 and 106,308.30

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Solution

The fourth proportional to 173,005.97, 259,384.40 and 106,308.30 is: 159,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,005.97 : 259,384.40 = 106,308.30 : x
  2. Step 2: Convert to fraction form
    173,005.97/259,384.40 = 106,308.30/x
  3. Step 3: Cross multiply
    173,005.97x = 259,384.40 × 106,308.30
  4. Step 4: Simplify right side
    173,005.97x = 27,574,713,106.29
  5. Step 5: Solve for x
    x = 27,574,713,106.29/173,005.97
  6. Step 6: Final answer
    x = 159,385.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.