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Finding the Fourth Proportional to 102,063.42, 153,092.67 and 71,953.29

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Solution

The fourth proportional to 102,063.42, 153,092.67 and 71,953.29 is: 107,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,063.42 : 153,092.67 = 71,953.29 : x
  2. Step 2: Convert to fraction form
    102,063.42/153,092.67 = 71,953.29/x
  3. Step 3: Cross multiply
    102,063.42x = 153,092.67 × 71,953.29
  4. Step 4: Simplify right side
    102,063.42x = 11,015,521,281.38
  5. Step 5: Solve for x
    x = 11,015,521,281.38/102,063.42
  6. Step 6: Final answer
    x = 107,928.20

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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.