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Finding the Fourth Proportional to 114,006.44, 157,328.50 and 63,705.44

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Solution

The fourth proportional to 114,006.44, 157,328.50 and 63,705.44 is: 87,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,006.44 : 157,328.50 = 63,705.44 : x
  2. Step 2: Convert to fraction form
    114,006.44/157,328.50 = 63,705.44/x
  3. Step 3: Cross multiply
    114,006.44x = 157,328.50 × 63,705.44
  4. Step 4: Simplify right side
    114,006.44x = 10,022,681,317.04
  5. Step 5: Solve for x
    x = 10,022,681,317.04/114,006.44
  6. Step 6: Final answer
    x = 87,913.29

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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.