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Finding the Fourth Proportional to 194,432, 268,316.16 and 105,008

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Solution

The fourth proportional to 194,432, 268,316.16 and 105,008 is: 144,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,432 : 268,316.16 = 105,008 : x
  2. Step 2: Convert to fraction form
    194,432/268,316.16 = 105,008/x
  3. Step 3: Cross multiply
    194,432x = 268,316.16 × 105,008
  4. Step 4: Simplify right side
    194,432x = 28,175,343,329.28
  5. Step 5: Solve for x
    x = 28,175,343,329.28/194,432
  6. Step 6: Final answer
    x = 144,911.04

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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.