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Finding the Fourth Proportional to 227,658.03, 314,209.21 and 135,783.21

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Solution

The fourth proportional to 227,658.03, 314,209.21 and 135,783.21 is: 187,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,658.03 : 314,209.21 = 135,783.21 : x
  2. Step 2: Convert to fraction form
    227,658.03/314,209.21 = 135,783.21/x
  3. Step 3: Cross multiply
    227,658.03x = 314,209.21 × 135,783.21
  4. Step 4: Simplify right side
    227,658.03x = 42,664,335,145.36
  5. Step 5: Solve for x
    x = 42,664,335,145.36/227,658.03
  6. Step 6: Final answer
    x = 187,405.36

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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.