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Finding the Fourth Proportional to 214,428.76, 295,947.12 and 118,966.20

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Solution

The fourth proportional to 214,428.76, 295,947.12 and 118,966.20 is: 164,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,428.76 : 295,947.12 = 118,966.20 : x
  2. Step 2: Convert to fraction form
    214,428.76/295,947.12 = 118,966.20/x
  3. Step 3: Cross multiply
    214,428.76x = 295,947.12 × 118,966.20
  4. Step 4: Simplify right side
    214,428.76x = 35,207,704,267.34
  5. Step 5: Solve for x
    x = 35,207,704,267.34/214,428.76
  6. Step 6: Final answer
    x = 164,193.01

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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.