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Finding the Fourth Proportional to 273,798.23, 410,697.12 and 103,051.85

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Solution

The fourth proportional to 273,798.23, 410,697.12 and 103,051.85 is: 154,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,798.23 : 410,697.12 = 103,051.85 : x
  2. Step 2: Convert to fraction form
    273,798.23/410,697.12 = 103,051.85/x
  3. Step 3: Cross multiply
    273,798.23x = 410,697.12 × 103,051.85
  4. Step 4: Simplify right side
    273,798.23x = 42,323,097,490.41
  5. Step 5: Solve for x
    x = 42,323,097,490.41/273,798.23
  6. Step 6: Final answer
    x = 154,577.69

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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.