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Finding the Fourth Proportional to 402,153.14, 603,229.35 and 102,633.69

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Solution

The fourth proportional to 402,153.14, 603,229.35 and 102,633.69 is: 153,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,153.14 : 603,229.35 = 102,633.69 : x
  2. Step 2: Convert to fraction form
    402,153.14/603,229.35 = 102,633.69/x
  3. Step 3: Cross multiply
    402,153.14x = 603,229.35 × 102,633.69
  4. Step 4: Simplify right side
    402,153.14x = 61,911,654,106.80
  5. Step 5: Solve for x
    x = 61,911,654,106.80/402,153.14
  6. Step 6: Final answer
    x = 153,950.45

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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.