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Finding the Fourth Proportional to 114,440, 157,936.50 and 63,457.80

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Solution

The fourth proportional to 114,440, 157,936.50 and 63,457.80 is: 87,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,440 : 157,936.50 = 63,457.80 : x
  2. Step 2: Convert to fraction form
    114,440/157,936.50 = 63,457.80/x
  3. Step 3: Cross multiply
    114,440x = 157,936.50 × 63,457.80
  4. Step 4: Simplify right side
    114,440x = 10,022,302,829.70
  5. Step 5: Solve for x
    x = 10,022,302,829.70/114,440
  6. Step 6: Final answer
    x = 87,576.92

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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.