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Finding the Fourth Proportional to 227,825.16, 314,345.52 and 132,274.32

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Solution

The fourth proportional to 227,825.16, 314,345.52 and 132,274.32 is: 182,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,825.16 : 314,345.52 = 132,274.32 : x
  2. Step 2: Convert to fraction form
    227,825.16/314,345.52 = 132,274.32/x
  3. Step 3: Cross multiply
    227,825.16x = 314,345.52 × 132,274.32
  4. Step 4: Simplify right side
    227,825.16x = 41,579,839,903.05
  5. Step 5: Solve for x
    x = 41,579,839,903.05/227,825.16
  6. Step 6: Final answer
    x = 182,507.67

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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.