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Finding the Fourth Proportional to 278,810.10, 417,922.74 and 136,459.08

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Solution

The fourth proportional to 278,810.10, 417,922.74 and 136,459.08 is: 204,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,810.10 : 417,922.74 = 136,459.08 : x
  2. Step 2: Convert to fraction form
    278,810.10/417,922.74 = 136,459.08/x
  3. Step 3: Cross multiply
    278,810.10x = 417,922.74 × 136,459.08
  4. Step 4: Simplify right side
    278,810.10x = 57,029,352,611.48
  5. Step 5: Solve for x
    x = 57,029,352,611.48/278,810.10
  6. Step 6: Final answer
    x = 204,545.50

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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.