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Finding the Fourth Proportional to 255,874.14, 383,012.50 and 188,482.14

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Solution

The fourth proportional to 255,874.14, 383,012.50 and 188,482.14 is: 282,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,874.14 : 383,012.50 = 188,482.14 : x
  2. Step 2: Convert to fraction form
    255,874.14/383,012.50 = 188,482.14/x
  3. Step 3: Cross multiply
    255,874.14x = 383,012.50 × 188,482.14
  4. Step 4: Simplify right side
    255,874.14x = 72,191,015,528.95
  5. Step 5: Solve for x
    x = 72,191,015,528.95/255,874.14
  6. Step 6: Final answer
    x = 282,134.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.