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Finding the Fourth Proportional to 273,645.62, 410,482.26 and 105,106.86

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Solution

The fourth proportional to 273,645.62, 410,482.26 and 105,106.86 is: 157,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,645.62 : 410,482.26 = 105,106.86 : x
  2. Step 2: Convert to fraction form
    273,645.62/410,482.26 = 105,106.86/x
  3. Step 3: Cross multiply
    273,645.62x = 410,482.26 × 105,106.86
  4. Step 4: Simplify right side
    273,645.62x = 43,144,499,381.89
  5. Step 5: Solve for x
    x = 43,144,499,381.89/273,645.62
  6. Step 6: Final answer
    x = 157,665.60

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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.