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Finding the Fourth Proportional to 145,832.84, 201,249.38 and 78,764.84

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Solution

The fourth proportional to 145,832.84, 201,249.38 and 78,764.84 is: 108,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,832.84 : 201,249.38 = 78,764.84 : x
  2. Step 2: Convert to fraction form
    145,832.84/201,249.38 = 78,764.84/x
  3. Step 3: Cross multiply
    145,832.84x = 201,249.38 × 78,764.84
  4. Step 4: Simplify right side
    145,832.84x = 15,851,374,909.59
  5. Step 5: Solve for x
    x = 15,851,374,909.59/145,832.84
  6. Step 6: Final answer
    x = 108,695.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.