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Finding the Fourth Proportional to 278,051.40, 417,077.10 and 159,953.40

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Solution

The fourth proportional to 278,051.40, 417,077.10 and 159,953.40 is: 239,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,051.40 : 417,077.10 = 159,953.40 : x
  2. Step 2: Convert to fraction form
    278,051.40/417,077.10 = 159,953.40/x
  3. Step 3: Cross multiply
    278,051.40x = 417,077.10 × 159,953.40
  4. Step 4: Simplify right side
    278,051.40x = 66,712,900,207.14
  5. Step 5: Solve for x
    x = 66,712,900,207.14/278,051.40
  6. Step 6: Final answer
    x = 239,930.10

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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.