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Finding the Fourth Proportional to 278,043.69, 383,703.03 and 150,718.98

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Solution

The fourth proportional to 278,043.69, 383,703.03 and 150,718.98 is: 207,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,043.69 : 383,703.03 = 150,718.98 : x
  2. Step 2: Convert to fraction form
    278,043.69/383,703.03 = 150,718.98/x
  3. Step 3: Cross multiply
    278,043.69x = 383,703.03 × 150,718.98
  4. Step 4: Simplify right side
    278,043.69x = 57,831,329,304.51
  5. Step 5: Solve for x
    x = 57,831,329,304.51/278,043.69
  6. Step 6: Final answer
    x = 207,993.68

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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.