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Finding the Fourth Proportional to 459,081.52, 688,674.67 and 122,135.90

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Solution

The fourth proportional to 459,081.52, 688,674.67 and 122,135.90 is: 183,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,081.52 : 688,674.67 = 122,135.90 : x
  2. Step 2: Convert to fraction form
    459,081.52/688,674.67 = 122,135.90/x
  3. Step 3: Cross multiply
    459,081.52x = 688,674.67 × 122,135.90
  4. Step 4: Simplify right side
    459,081.52x = 84,111,896,878.94
  5. Step 5: Solve for x
    x = 84,111,896,878.94/459,081.52
  6. Step 6: Final answer
    x = 183,217.78

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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.