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Finding the Fourth Proportional to 109,173.84, 163,783.86 and 34,301.58

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Solution

The fourth proportional to 109,173.84, 163,783.86 and 34,301.58 is: 51,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,173.84 : 163,783.86 = 34,301.58 : x
  2. Step 2: Convert to fraction form
    109,173.84/163,783.86 = 34,301.58/x
  3. Step 3: Cross multiply
    109,173.84x = 163,783.86 × 34,301.58
  4. Step 4: Simplify right side
    109,173.84x = 5,618,045,176.50
  5. Step 5: Solve for x
    x = 5,618,045,176.50/109,173.84
  6. Step 6: Final answer
    x = 51,459.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.