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Finding the Fourth Proportional to 402,153.19, 603,229.31 and 102,633.80

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Solution

The fourth proportional to 402,153.19, 603,229.31 and 102,633.80 is: 153,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,153.19 : 603,229.31 = 102,633.80 : x
  2. Step 2: Convert to fraction form
    402,153.19/603,229.31 = 102,633.80/x
  3. Step 3: Cross multiply
    402,153.19x = 603,229.31 × 102,633.80
  4. Step 4: Simplify right side
    402,153.19x = 61,911,718,578.86
  5. Step 5: Solve for x
    x = 61,911,718,578.86/402,153.19
  6. Step 6: Final answer
    x = 153,950.58

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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.