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Finding the Fourth Proportional to 253,409.76, 380,114.60 and 116,619.06

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Solution

The fourth proportional to 253,409.76, 380,114.60 and 116,619.06 is: 174,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,409.76 : 380,114.60 = 116,619.06 : x
  2. Step 2: Convert to fraction form
    253,409.76/380,114.60 = 116,619.06/x
  3. Step 3: Cross multiply
    253,409.76x = 380,114.60 × 116,619.06
  4. Step 4: Simplify right side
    253,409.76x = 44,328,606,761.18
  5. Step 5: Solve for x
    x = 44,328,606,761.18/253,409.76
  6. Step 6: Final answer
    x = 174,928.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.