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Finding the Fourth Proportional to 262,182.90, 361,767.69 and 147,431.82

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Solution

The fourth proportional to 262,182.90, 361,767.69 and 147,431.82 is: 203,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,182.90 : 361,767.69 = 147,431.82 : x
  2. Step 2: Convert to fraction form
    262,182.90/361,767.69 = 147,431.82/x
  3. Step 3: Cross multiply
    262,182.90x = 361,767.69 × 147,431.82
  4. Step 4: Simplify right side
    262,182.90x = 53,336,068,953.90
  5. Step 5: Solve for x
    x = 53,336,068,953.90/262,182.90
  6. Step 6: Final answer
    x = 203,430.77

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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.