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Finding the Fourth Proportional to 402,151.64, 603,226.94 and 102,632.22

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Solution

The fourth proportional to 402,151.64, 603,226.94 and 102,632.22 is: 153,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,151.64 : 603,226.94 = 102,632.22 : x
  2. Step 2: Convert to fraction form
    402,151.64/603,226.94 = 102,632.22/x
  3. Step 3: Cross multiply
    402,151.64x = 603,226.94 × 102,632.22
  4. Step 4: Simplify right side
    402,151.64x = 61,910,519,502.85
  5. Step 5: Solve for x
    x = 61,910,519,502.85/402,151.64
  6. Step 6: Final answer
    x = 153,948.20

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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.