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Finding the Fourth Proportional to 208,051.20, 287,193.60 and 132,710.40

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Solution

The fourth proportional to 208,051.20, 287,193.60 and 132,710.40 is: 183,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051.20 : 287,193.60 = 132,710.40 : x
  2. Step 2: Convert to fraction form
    208,051.20/287,193.60 = 132,710.40/x
  3. Step 3: Cross multiply
    208,051.20x = 287,193.60 × 132,710.40
  4. Step 4: Simplify right side
    208,051.20x = 38,113,577,533.44
  5. Step 5: Solve for x
    x = 38,113,577,533.44/208,051.20
  6. Step 6: Final answer
    x = 183,193.26

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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.