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Finding the Fourth Proportional to 205,300.88, 283,306.88 and 114,655.44

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Solution

The fourth proportional to 205,300.88, 283,306.88 and 114,655.44 is: 158,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,300.88 : 283,306.88 = 114,655.44 : x
  2. Step 2: Convert to fraction form
    205,300.88/283,306.88 = 114,655.44/x
  3. Step 3: Cross multiply
    205,300.88x = 283,306.88 × 114,655.44
  4. Step 4: Simplify right side
    205,300.88x = 32,482,674,981.43
  5. Step 5: Solve for x
    x = 32,482,674,981.43/205,300.88
  6. Step 6: Final answer
    x = 158,219.85

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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.