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Finding the Fourth Proportional to 228,231.06, 314,852.74 and 147,684.62

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Solution

The fourth proportional to 228,231.06, 314,852.74 and 147,684.62 is: 203,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,231.06 : 314,852.74 = 147,684.62 : x
  2. Step 2: Convert to fraction form
    228,231.06/314,852.74 = 147,684.62/x
  3. Step 3: Cross multiply
    228,231.06x = 314,852.74 × 147,684.62
  4. Step 4: Simplify right side
    228,231.06x = 46,498,905,319.38
  5. Step 5: Solve for x
    x = 46,498,905,319.38/228,231.06
  6. Step 6: Final answer
    x = 203,736.10

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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.