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Finding the Fourth Proportional to 229,464.36, 344,144.57 and 87,258.96

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Solution

The fourth proportional to 229,464.36, 344,144.57 and 87,258.96 is: 130,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,464.36 : 344,144.57 = 87,258.96 : x
  2. Step 2: Convert to fraction form
    229,464.36/344,144.57 = 87,258.96/x
  3. Step 3: Cross multiply
    229,464.36x = 344,144.57 × 87,258.96
  4. Step 4: Simplify right side
    229,464.36x = 30,029,696,831.55
  5. Step 5: Solve for x
    x = 30,029,696,831.55/229,464.36
  6. Step 6: Final answer
    x = 130,868.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.