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Finding the Fourth Proportional to 280,830.75, 387,546.44 and 153,506.85

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Solution

The fourth proportional to 280,830.75, 387,546.44 and 153,506.85 is: 211,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,830.75 : 387,546.44 = 153,506.85 : x
  2. Step 2: Convert to fraction form
    280,830.75/387,546.44 = 153,506.85/x
  3. Step 3: Cross multiply
    280,830.75x = 387,546.44 × 153,506.85
  4. Step 4: Simplify right side
    280,830.75x = 59,491,032,465.58
  5. Step 5: Solve for x
    x = 59,491,032,465.58/280,830.75
  6. Step 6: Final answer
    x = 211,839.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.