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Finding the Fourth Proportional to 194,582, 268,523.16 and 105,158

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Solution

The fourth proportional to 194,582, 268,523.16 and 105,158 is: 145,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,582 : 268,523.16 = 105,158 : x
  2. Step 2: Convert to fraction form
    194,582/268,523.16 = 105,158/x
  3. Step 3: Cross multiply
    194,582x = 268,523.16 × 105,158
  4. Step 4: Simplify right side
    194,582x = 28,237,358,459.28
  5. Step 5: Solve for x
    x = 28,237,358,459.28/194,582
  6. Step 6: Final answer
    x = 145,118.04

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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.