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Finding the Fourth Proportional to 194,688.96, 268,619.98 and 114,073.17

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Solution

The fourth proportional to 194,688.96, 268,619.98 and 114,073.17 is: 157,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,688.96 : 268,619.98 = 114,073.17 : x
  2. Step 2: Convert to fraction form
    194,688.96/268,619.98 = 114,073.17/x
  3. Step 3: Cross multiply
    194,688.96x = 268,619.98 × 114,073.17
  4. Step 4: Simplify right side
    194,688.96x = 30,642,332,643.94
  5. Step 5: Solve for x
    x = 30,642,332,643.94/194,688.96
  6. Step 6: Final answer
    x = 157,391.22

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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.