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Finding the Fourth Proportional to 178,182.83, 245,885.01 and 106,520.51

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Solution

The fourth proportional to 178,182.83, 245,885.01 and 106,520.51 is: 146,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,182.83 : 245,885.01 = 106,520.51 : x
  2. Step 2: Convert to fraction form
    178,182.83/245,885.01 = 106,520.51/x
  3. Step 3: Cross multiply
    178,182.83x = 245,885.01 × 106,520.51
  4. Step 4: Simplify right side
    178,182.83x = 26,191,796,666.56
  5. Step 5: Solve for x
    x = 26,191,796,666.56/178,182.83
  6. Step 6: Final answer
    x = 146,993.94

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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.