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Finding the Fourth Proportional to 281,154.52, 387,993 and 153,830.64

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Solution

The fourth proportional to 281,154.52, 387,993 and 153,830.64 is: 212,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,154.52 : 387,993 = 153,830.64 : x
  2. Step 2: Convert to fraction form
    281,154.52/387,993 = 153,830.64/x
  3. Step 3: Cross multiply
    281,154.52x = 387,993 × 153,830.64
  4. Step 4: Simplify right side
    281,154.52x = 59,685,211,505.52
  5. Step 5: Solve for x
    x = 59,685,211,505.52/281,154.52
  6. Step 6: Final answer
    x = 212,286.15

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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.