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Finding the Fourth Proportional to 254,293.20, 381,877.20 and 165,938.40

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Solution

The fourth proportional to 254,293.20, 381,877.20 and 165,938.40 is: 249,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,293.20 : 381,877.20 = 165,938.40 : x
  2. Step 2: Convert to fraction form
    254,293.20/381,877.20 = 165,938.40/x
  3. Step 3: Cross multiply
    254,293.20x = 381,877.20 × 165,938.40
  4. Step 4: Simplify right side
    254,293.20x = 63,368,091,564.48
  5. Step 5: Solve for x
    x = 63,368,091,564.48/254,293.20
  6. Step 6: Final answer
    x = 249,193.02

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