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Finding the Fourth Proportional to 185,838.30, 256,457.16 and 100,955.43

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Solution

The fourth proportional to 185,838.30, 256,457.16 and 100,955.43 is: 139,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,838.30 : 256,457.16 = 100,955.43 : x
  2. Step 2: Convert to fraction form
    185,838.30/256,457.16 = 100,955.43/x
  3. Step 3: Cross multiply
    185,838.30x = 256,457.16 × 100,955.43
  4. Step 4: Simplify right side
    185,838.30x = 25,890,742,864.38
  5. Step 5: Solve for x
    x = 25,890,742,864.38/185,838.30
  6. Step 6: Final answer
    x = 139,318.66

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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.