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Finding the Fourth Proportional to 235,553.76, 353,130.96 and 102,333.60

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Solution

The fourth proportional to 235,553.76, 353,130.96 and 102,333.60 is: 153,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,553.76 : 353,130.96 = 102,333.60 : x
  2. Step 2: Convert to fraction form
    235,553.76/353,130.96 = 102,333.60/x
  3. Step 3: Cross multiply
    235,553.76x = 353,130.96 × 102,333.60
  4. Step 4: Simplify right side
    235,553.76x = 36,137,162,408.26
  5. Step 5: Solve for x
    x = 36,137,162,408.26/235,553.76
  6. Step 6: Final answer
    x = 153,413.65

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Why These Related Problems?

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