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Finding the Fourth Proportional to 102,155.90, 153,135.32 and 52,259.50

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Solution

The fourth proportional to 102,155.90, 153,135.32 and 52,259.50 is: 78,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,155.90 : 153,135.32 = 52,259.50 : x
  2. Step 2: Convert to fraction form
    102,155.90/153,135.32 = 52,259.50/x
  3. Step 3: Cross multiply
    102,155.90x = 153,135.32 × 52,259.50
  4. Step 4: Simplify right side
    102,155.90x = 8,002,775,255.54
  5. Step 5: Solve for x
    x = 8,002,775,255.54/102,155.90
  6. Step 6: Final answer
    x = 78,338.85

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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.