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Finding the Fourth Proportional to 227,078.34, 313,392.56 and 125,114.06

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Solution

The fourth proportional to 227,078.34, 313,392.56 and 125,114.06 is: 172,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,078.34 : 313,392.56 = 125,114.06 : x
  2. Step 2: Convert to fraction form
    227,078.34/313,392.56 = 125,114.06/x
  3. Step 3: Cross multiply
    227,078.34x = 313,392.56 × 125,114.06
  4. Step 4: Simplify right side
    227,078.34x = 39,209,813,362.86
  5. Step 5: Solve for x
    x = 39,209,813,362.86/227,078.34
  6. Step 6: Final answer
    x = 172,670.86

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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.