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Finding the Fourth Proportional to 278,209.88, 383,925.84 and 150,882.92

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Solution

The fourth proportional to 278,209.88, 383,925.84 and 150,882.92 is: 208,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,209.88 : 383,925.84 = 150,882.92 : x
  2. Step 2: Convert to fraction form
    278,209.88/383,925.84 = 150,882.92/x
  3. Step 3: Cross multiply
    278,209.88x = 383,925.84 × 150,882.92
  4. Step 4: Simplify right side
    278,209.88x = 57,927,851,802.65
  5. Step 5: Solve for x
    x = 57,927,851,802.65/278,209.88
  6. Step 6: Final answer
    x = 208,216.37

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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.