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Finding the Fourth Proportional to 402,151.51, 603,226.75 and 102,632.09

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Solution

The fourth proportional to 402,151.51, 603,226.75 and 102,632.09 is: 153,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,151.51 : 603,226.75 = 102,632.09 : x
  2. Step 2: Convert to fraction form
    402,151.51/603,226.75 = 102,632.09/x
  3. Step 3: Cross multiply
    402,151.51x = 603,226.75 × 102,632.09
  4. Step 4: Simplify right side
    402,151.51x = 61,910,422,096.41
  5. Step 5: Solve for x
    x = 61,910,422,096.41/402,151.51
  6. Step 6: Final answer
    x = 153,948.00

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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.