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Finding the Fourth Proportional to 278,153.01, 383,847.53 and 150,827.90

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Solution

The fourth proportional to 278,153.01, 383,847.53 and 150,827.90 is: 208,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,153.01 : 383,847.53 = 150,827.90 : x
  2. Step 2: Convert to fraction form
    278,153.01/383,847.53 = 150,827.90/x
  3. Step 3: Cross multiply
    278,153.01x = 383,847.53 × 150,827.90
  4. Step 4: Simplify right side
    278,153.01x = 57,894,914,196.71
  5. Step 5: Solve for x
    x = 57,894,914,196.71/278,153.01
  6. Step 6: Final answer
    x = 208,140.53

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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.