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Finding the Fourth Proportional to 102,418.65, 153,674.42 and 46,228.41

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Solution

The fourth proportional to 102,418.65, 153,674.42 and 46,228.41 is: 69,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418.65 : 153,674.42 = 46,228.41 : x
  2. Step 2: Convert to fraction form
    102,418.65/153,674.42 = 46,228.41/x
  3. Step 3: Cross multiply
    102,418.65x = 153,674.42 × 46,228.41
  4. Step 4: Simplify right side
    102,418.65x = 7,104,123,863.13
  5. Step 5: Solve for x
    x = 7,104,123,863.13/102,418.65
  6. Step 6: Final answer
    x = 69,363.58

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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.