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Finding the Fourth Proportional to 104,998.32, 157,322.15 and 73,777.68

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Solution

The fourth proportional to 104,998.32, 157,322.15 and 73,777.68 is: 110,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,998.32 : 157,322.15 = 73,777.68 : x
  2. Step 2: Convert to fraction form
    104,998.32/157,322.15 = 73,777.68/x
  3. Step 3: Cross multiply
    104,998.32x = 157,322.15 × 73,777.68
  4. Step 4: Simplify right side
    104,998.32x = 11,606,863,239.61
  5. Step 5: Solve for x
    x = 11,606,863,239.61/104,998.32
  6. Step 6: Final answer
    x = 110,543.32

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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.