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Finding the Fourth Proportional to 214,409.76, 295,947.36 and 129,533.28

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Solution

The fourth proportional to 214,409.76, 295,947.36 and 129,533.28 is: 178,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,409.76 : 295,947.36 = 129,533.28 : x
  2. Step 2: Convert to fraction form
    214,409.76/295,947.36 = 129,533.28/x
  3. Step 3: Cross multiply
    214,409.76x = 295,947.36 × 129,533.28
  4. Step 4: Simplify right side
    214,409.76x = 38,335,032,248.14
  5. Step 5: Solve for x
    x = 38,335,032,248.14/214,409.76
  6. Step 6: Final answer
    x = 178,793.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.