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Finding the Fourth Proportional to 227,574.32, 314,052.52 and 126,972.32

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Solution

The fourth proportional to 227,574.32, 314,052.52 and 126,972.32 is: 175,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,574.32 : 314,052.52 = 126,972.32 : x
  2. Step 2: Convert to fraction form
    227,574.32/314,052.52 = 126,972.32/x
  3. Step 3: Cross multiply
    227,574.32x = 314,052.52 × 126,972.32
  4. Step 4: Simplify right side
    227,574.32x = 39,875,977,066.25
  5. Step 5: Solve for x
    x = 39,875,977,066.25/227,574.32
  6. Step 6: Final answer
    x = 175,221.78

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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.