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Finding the Fourth Proportional to 278,111.88, 383,653.08 and 175,965.12

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Solution

The fourth proportional to 278,111.88, 383,653.08 and 175,965.12 is: 242,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,111.88 : 383,653.08 = 175,965.12 : x
  2. Step 2: Convert to fraction form
    278,111.88/383,653.08 = 175,965.12/x
  3. Step 3: Cross multiply
    278,111.88x = 383,653.08 × 175,965.12
  4. Step 4: Simplify right side
    278,111.88x = 67,509,560,260.57
  5. Step 5: Solve for x
    x = 67,509,560,260.57/278,111.88
  6. Step 6: Final answer
    x = 242,742.45

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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.