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Finding the Fourth Proportional to 178,182.54, 245,830.44 and 101,646.43

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Solution

The fourth proportional to 178,182.54, 245,830.44 and 101,646.43 is: 140,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,182.54 : 245,830.44 = 101,646.43 : x
  2. Step 2: Convert to fraction form
    178,182.54/245,830.44 = 101,646.43/x
  3. Step 3: Cross multiply
    178,182.54x = 245,830.44 × 101,646.43
  4. Step 4: Simplify right side
    178,182.54x = 24,987,786,377.93
  5. Step 5: Solve for x
    x = 24,987,786,377.93/178,182.54
  6. Step 6: Final answer
    x = 140,237.01

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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.