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Finding the Fourth Proportional to 213,051.60, 319,553.80 and 76,269.24

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Solution

The fourth proportional to 213,051.60, 319,553.80 and 76,269.24 is: 114,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,051.60 : 319,553.80 = 76,269.24 : x
  2. Step 2: Convert to fraction form
    213,051.60/319,553.80 = 76,269.24/x
  3. Step 3: Cross multiply
    213,051.60x = 319,553.80 × 76,269.24
  4. Step 4: Simplify right side
    213,051.60x = 24,372,125,465.11
  5. Step 5: Solve for x
    x = 24,372,125,465.11/213,051.60
  6. Step 6: Final answer
    x = 114,395.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.