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Finding the Fourth Proportional to 228,150.12, 314,698.86 and 146,348.92

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Solution

The fourth proportional to 228,150.12, 314,698.86 and 146,348.92 is: 201,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,150.12 : 314,698.86 = 146,348.92 : x
  2. Step 2: Convert to fraction form
    228,150.12/314,698.86 = 146,348.92/x
  3. Step 3: Cross multiply
    228,150.12x = 314,698.86 × 146,348.92
  4. Step 4: Simplify right side
    228,150.12x = 46,055,838,286.23
  5. Step 5: Solve for x
    x = 46,055,838,286.23/228,150.12
  6. Step 6: Final answer
    x = 201,866.38

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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.