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Finding the Fourth Proportional to 208,420.98, 287,686.35 and 132,969.42

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Solution

The fourth proportional to 208,420.98, 287,686.35 and 132,969.42 is: 183,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,420.98 : 287,686.35 = 132,969.42 : x
  2. Step 2: Convert to fraction form
    208,420.98/287,686.35 = 132,969.42/x
  3. Step 3: Cross multiply
    208,420.98x = 287,686.35 × 132,969.42
  4. Step 4: Simplify right side
    208,420.98x = 38,253,487,101.42
  5. Step 5: Solve for x
    x = 38,253,487,101.42/208,420.98
  6. Step 6: Final answer
    x = 183,539.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.