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Finding the Fourth Proportional to 194,459.96, 268,478.58 and 158,734.90

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Solution

The fourth proportional to 194,459.96, 268,478.58 and 158,734.90 is: 219,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,459.96 : 268,478.58 = 158,734.90 : x
  2. Step 2: Convert to fraction form
    194,459.96/268,478.58 = 158,734.90/x
  3. Step 3: Cross multiply
    194,459.96x = 268,478.58 × 158,734.90
  4. Step 4: Simplify right side
    194,459.96x = 42,616,920,548.44
  5. Step 5: Solve for x
    x = 42,616,920,548.44/194,459.96
  6. Step 6: Final answer
    x = 219,155.25

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Why These Related Problems?

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