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Finding the Fourth Proportional to 194,407.40, 268,298.16 and 109,530.20

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Solution

The fourth proportional to 194,407.40, 268,298.16 and 109,530.20 is: 151,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,407.40 : 268,298.16 = 109,530.20 : x
  2. Step 2: Convert to fraction form
    194,407.40/268,298.16 = 109,530.20/x
  3. Step 3: Cross multiply
    194,407.40x = 268,298.16 × 109,530.20
  4. Step 4: Simplify right side
    194,407.40x = 29,386,751,124.43
  5. Step 5: Solve for x
    x = 29,386,751,124.43/194,407.40
  6. Step 6: Final answer
    x = 151,160.66

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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.