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Finding the Fourth Proportional to 278,045.84, 417,101.19 and 100,636.40

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Solution

The fourth proportional to 278,045.84, 417,101.19 and 100,636.40 is: 150,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.84 : 417,101.19 = 100,636.40 : x
  2. Step 2: Convert to fraction form
    278,045.84/417,101.19 = 100,636.40/x
  3. Step 3: Cross multiply
    278,045.84x = 417,101.19 × 100,636.40
  4. Step 4: Simplify right side
    278,045.84x = 41,975,559,608.63
  5. Step 5: Solve for x
    x = 41,975,559,608.63/278,045.84
  6. Step 6: Final answer
    x = 150,966.33

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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.