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Finding the Fourth Proportional to 102,705.44, 141,703.44 and 60,265.76

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Solution

The fourth proportional to 102,705.44, 141,703.44 and 60,265.76 is: 83,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.44 : 141,703.44 = 60,265.76 : x
  2. Step 2: Convert to fraction form
    102,705.44/141,703.44 = 60,265.76/x
  3. Step 3: Cross multiply
    102,705.44x = 141,703.44 × 60,265.76
  4. Step 4: Simplify right side
    102,705.44x = 8,539,865,506.21
  5. Step 5: Solve for x
    x = 8,539,865,506.21/102,705.44
  6. Step 6: Final answer
    x = 83,149.11

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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.