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Finding the Fourth Proportional to 218,898.48, 302,077.68 and 123,435.96

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Solution

The fourth proportional to 218,898.48, 302,077.68 and 123,435.96 is: 170,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,898.48 : 302,077.68 = 123,435.96 : x
  2. Step 2: Convert to fraction form
    218,898.48/302,077.68 = 123,435.96/x
  3. Step 3: Cross multiply
    218,898.48x = 302,077.68 × 123,435.96
  4. Step 4: Simplify right side
    218,898.48x = 37,287,248,425.37
  5. Step 5: Solve for x
    x = 37,287,248,425.37/218,898.48
  6. Step 6: Final answer
    x = 170,340.37

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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.