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Finding the Fourth Proportional to 278,024.94, 383,674.05 and 150,700.50

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Solution

The fourth proportional to 278,024.94, 383,674.05 and 150,700.50 is: 207,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,024.94 : 383,674.05 = 150,700.50 : x
  2. Step 2: Convert to fraction form
    278,024.94/383,674.05 = 150,700.50/x
  3. Step 3: Cross multiply
    278,024.94x = 383,674.05 × 150,700.50
  4. Step 4: Simplify right side
    278,024.94x = 57,819,871,172.03
  5. Step 5: Solve for x
    x = 57,819,871,172.03/278,024.94
  6. Step 6: Final answer
    x = 207,966.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.