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Finding the Fourth Proportional to 265,128.96, 397,700.16 and 78,146.88

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Solution

The fourth proportional to 265,128.96, 397,700.16 and 78,146.88 is: 117,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,128.96 : 397,700.16 = 78,146.88 : x
  2. Step 2: Convert to fraction form
    265,128.96/397,700.16 = 78,146.88/x
  3. Step 3: Cross multiply
    265,128.96x = 397,700.16 × 78,146.88
  4. Step 4: Simplify right side
    265,128.96x = 31,079,026,679.50
  5. Step 5: Solve for x
    x = 31,079,026,679.50/265,128.96
  6. Step 6: Final answer
    x = 117,222.30

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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.