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Finding the Fourth Proportional to 208,488.10, 287,744.51 and 132,014.32

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Solution

The fourth proportional to 208,488.10, 287,744.51 and 132,014.32 is: 182,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,488.10 : 287,744.51 = 132,014.32 : x
  2. Step 2: Convert to fraction form
    208,488.10/287,744.51 = 132,014.32/x
  3. Step 3: Cross multiply
    208,488.10x = 287,744.51 × 132,014.32
  4. Step 4: Simplify right side
    208,488.10x = 37,986,395,821.38
  5. Step 5: Solve for x
    x = 37,986,395,821.38/208,488.10
  6. Step 6: Final answer
    x = 182,199.35

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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.