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Finding the Fourth Proportional to 229,822.56, 317,130.96 and 127,831.44

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Solution

The fourth proportional to 229,822.56, 317,130.96 and 127,831.44 is: 176,393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,822.56 : 317,130.96 = 127,831.44 : x
  2. Step 2: Convert to fraction form
    229,822.56/317,130.96 = 127,831.44/x
  3. Step 3: Cross multiply
    229,822.56x = 317,130.96 × 127,831.44
  4. Step 4: Simplify right side
    229,822.56x = 40,539,307,285.38
  5. Step 5: Solve for x
    x = 40,539,307,285.38/229,822.56
  6. Step 6: Final answer
    x = 176,393.94

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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.