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Finding the Fourth Proportional to 278,024.90, 383,675.01 and 150,699.92

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Solution

The fourth proportional to 278,024.90, 383,675.01 and 150,699.92 is: 207,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,024.90 : 383,675.01 = 150,699.92 : x
  2. Step 2: Convert to fraction form
    278,024.90/383,675.01 = 150,699.92/x
  3. Step 3: Cross multiply
    278,024.90x = 383,675.01 × 150,699.92
  4. Step 4: Simplify right side
    278,024.90x = 57,819,793,313.00
  5. Step 5: Solve for x
    x = 57,819,793,313.00/278,024.90
  6. Step 6: Final answer
    x = 207,966.24

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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.