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Finding the Fourth Proportional to 102,578.20, 153,780.90 and 53,330.20

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Solution

The fourth proportional to 102,578.20, 153,780.90 and 53,330.20 is: 79,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578.20 : 153,780.90 = 53,330.20 : x
  2. Step 2: Convert to fraction form
    102,578.20/153,780.90 = 53,330.20/x
  3. Step 3: Cross multiply
    102,578.20x = 153,780.90 × 53,330.20
  4. Step 4: Simplify right side
    102,578.20x = 8,201,166,153.18
  5. Step 5: Solve for x
    x = 8,201,166,153.18/102,578.20
  6. Step 6: Final answer
    x = 79,950.38

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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.