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Finding the Fourth Proportional to 227,957.78, 314,582.12 and 125,983.22

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Solution

The fourth proportional to 227,957.78, 314,582.12 and 125,983.22 is: 173,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,957.78 : 314,582.12 = 125,983.22 : x
  2. Step 2: Convert to fraction form
    227,957.78/314,582.12 = 125,983.22/x
  3. Step 3: Cross multiply
    227,957.78x = 314,582.12 × 125,983.22
  4. Step 4: Simplify right side
    227,957.78x = 39,632,066,701.64
  5. Step 5: Solve for x
    x = 39,632,066,701.64/227,957.78
  6. Step 6: Final answer
    x = 173,857.05

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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.