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Finding the Fourth Proportional to 102,091.82, 153,168.90 and 52,206.94

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Solution

The fourth proportional to 102,091.82, 153,168.90 and 52,206.94 is: 78,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,091.82 : 153,168.90 = 52,206.94 : x
  2. Step 2: Convert to fraction form
    102,091.82/153,168.90 = 52,206.94/x
  3. Step 3: Cross multiply
    102,091.82x = 153,168.90 × 52,206.94
  4. Step 4: Simplify right side
    102,091.82x = 7,996,479,572.17
  5. Step 5: Solve for x
    x = 7,996,479,572.17/102,091.82
  6. Step 6: Final answer
    x = 78,326.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.