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Finding the Fourth Proportional to 129,152.64, 178,310.16 and 102,403.20

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Solution

The fourth proportional to 129,152.64, 178,310.16 and 102,403.20 is: 141,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,152.64 : 178,310.16 = 102,403.20 : x
  2. Step 2: Convert to fraction form
    129,152.64/178,310.16 = 102,403.20/x
  3. Step 3: Cross multiply
    129,152.64x = 178,310.16 × 102,403.20
  4. Step 4: Simplify right side
    129,152.64x = 18,259,530,976.51
  5. Step 5: Solve for x
    x = 18,259,530,976.51/129,152.64
  6. Step 6: Final answer
    x = 141,379.46

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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.