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Finding the Fourth Proportional to 114,012, 157,346.25 and 66,262.26

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Solution

The fourth proportional to 114,012, 157,346.25 and 66,262.26 is: 91,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,012 : 157,346.25 = 66,262.26 : x
  2. Step 2: Convert to fraction form
    114,012/157,346.25 = 66,262.26/x
  3. Step 3: Cross multiply
    114,012x = 157,346.25 × 66,262.26
  4. Step 4: Simplify right side
    114,012x = 10,426,118,127.53
  5. Step 5: Solve for x
    x = 10,426,118,127.53/114,012
  6. Step 6: Final answer
    x = 91,447.55

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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.