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Finding the Fourth Proportional to 208,514.18, 287,742.57 and 123,580.82

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Solution

The fourth proportional to 208,514.18, 287,742.57 and 123,580.82 is: 170,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,514.18 : 287,742.57 = 123,580.82 : x
  2. Step 2: Convert to fraction form
    208,514.18/287,742.57 = 123,580.82/x
  3. Step 3: Cross multiply
    208,514.18x = 287,742.57 × 123,580.82
  4. Step 4: Simplify right side
    208,514.18x = 35,559,462,749.51
  5. Step 5: Solve for x
    x = 35,559,462,749.51/208,514.18
  6. Step 6: Final answer
    x = 170,537.38

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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.