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Finding the Fourth Proportional to 117,842.80, 176,569.80 and 100,346.80

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Solution

The fourth proportional to 117,842.80, 176,569.80 and 100,346.80 is: 150,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,842.80 : 176,569.80 = 100,346.80 : x
  2. Step 2: Convert to fraction form
    117,842.80/176,569.80 = 100,346.80/x
  3. Step 3: Cross multiply
    117,842.80x = 176,569.80 × 100,346.80
  4. Step 4: Simplify right side
    117,842.80x = 17,718,214,406.64
  5. Step 5: Solve for x
    x = 17,718,214,406.64/117,842.80
  6. Step 6: Final answer
    x = 150,354.66

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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.