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Finding the Fourth Proportional to 102,269.38, 141,094.29 and 61,954.06

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Solution

The fourth proportional to 102,269.38, 141,094.29 and 61,954.06 is: 85,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,269.38 : 141,094.29 = 61,954.06 : x
  2. Step 2: Convert to fraction form
    102,269.38/141,094.29 = 61,954.06/x
  3. Step 3: Cross multiply
    102,269.38x = 141,094.29 × 61,954.06
  4. Step 4: Simplify right side
    102,269.38x = 8,741,364,108.32
  5. Step 5: Solve for x
    x = 8,741,364,108.32/102,269.38
  6. Step 6: Final answer
    x = 85,473.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.